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Finding the Fourth Proportional to 417.28, 575.36 and 319.20

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Solution

The fourth proportional to 417.28, 575.36 and 319.20 is: 440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.28 : 575.36 = 319.20 : x
  2. Step 2: Convert to fraction form
    417.28/575.36 = 319.20/x
  3. Step 3: Cross multiply
    417.28x = 575.36 × 319.20
  4. Step 4: Simplify right side
    417.28x = 183,654.91
  5. Step 5: Solve for x
    x = 183,654.91/417.28
  6. Step 6: Final answer
    x = 440.12

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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.