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Finding the Fourth Proportional to 417.24, 574.38 and 358.68

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Solution

The fourth proportional to 417.24, 574.38 and 358.68 is: 493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.24 : 574.38 = 358.68 : x
  2. Step 2: Convert to fraction form
    417.24/574.38 = 358.68/x
  3. Step 3: Cross multiply
    417.24x = 574.38 × 358.68
  4. Step 4: Simplify right side
    417.24x = 206,018.62
  5. Step 5: Solve for x
    x = 206,018.62/417.24
  6. Step 6: Final answer
    x = 493.77

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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.