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Finding the Fourth Proportional to 317.30, 473.56 and 239.88

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Solution

The fourth proportional to 317.30, 473.56 and 239.88 is: 358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.30 : 473.56 = 239.88 : x
  2. Step 2: Convert to fraction form
    317.30/473.56 = 239.88/x
  3. Step 3: Cross multiply
    317.30x = 473.56 × 239.88
  4. Step 4: Simplify right side
    317.30x = 113,597.57
  5. Step 5: Solve for x
    x = 113,597.57/317.30
  6. Step 6: Final answer
    x = 358.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.