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Finding the Fourth Proportional to 416.76, 575.15 and 242.15

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Solution

The fourth proportional to 416.76, 575.15 and 242.15 is: 334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.76 : 575.15 = 242.15 : x
  2. Step 2: Convert to fraction form
    416.76/575.15 = 242.15/x
  3. Step 3: Cross multiply
    416.76x = 575.15 × 242.15
  4. Step 4: Simplify right side
    416.76x = 139,268.49
  5. Step 5: Solve for x
    x = 139,268.49/416.76
  6. Step 6: Final answer
    x = 334.17

Related Problems

Find fourth proportional to 208.38, 287.57 and 121.07
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.