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Finding the Fourth Proportional to 416.76, 575.12 and 242.14

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Solution

The fourth proportional to 416.76, 575.12 and 242.14 is: 334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.76 : 575.12 = 242.14 : x
  2. Step 2: Convert to fraction form
    416.76/575.12 = 242.14/x
  3. Step 3: Cross multiply
    416.76x = 575.12 × 242.14
  4. Step 4: Simplify right side
    416.76x = 139,259.56
  5. Step 5: Solve for x
    x = 139,259.56/416.76
  6. Step 6: Final answer
    x = 334.15

Related Problems

Find fourth proportional to 208.38, 287.56 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.