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Finding the Fourth Proportional to 416.78, 575.21 and 242.12

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Solution

The fourth proportional to 416.78, 575.21 and 242.12 is: 334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.78 : 575.21 = 242.12 : x
  2. Step 2: Convert to fraction form
    416.78/575.21 = 242.12/x
  3. Step 3: Cross multiply
    416.78x = 575.21 × 242.12
  4. Step 4: Simplify right side
    416.78x = 139,271.89
  5. Step 5: Solve for x
    x = 139,271.89/416.78
  6. Step 6: Final answer
    x = 334.16

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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.