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Finding the Fourth Proportional to 417.16, 575.55 and 242.47

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Solution

The fourth proportional to 417.16, 575.55 and 242.47 is: 334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.16 : 575.55 = 242.47 : x
  2. Step 2: Convert to fraction form
    417.16/575.55 = 242.47/x
  3. Step 3: Cross multiply
    417.16x = 575.55 × 242.47
  4. Step 4: Simplify right side
    417.16x = 139,553.61
  5. Step 5: Solve for x
    x = 139,553.61/417.16
  6. Step 6: Final answer
    x = 334.53

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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.