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Finding the Fourth Proportional to 358.31, 534.69 and 317.31

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Solution

The fourth proportional to 358.31, 534.69 and 317.31 is: 473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.31 : 534.69 = 317.31 : x
  2. Step 2: Convert to fraction form
    358.31/534.69 = 317.31/x
  3. Step 3: Cross multiply
    358.31x = 534.69 × 317.31
  4. Step 4: Simplify right side
    358.31x = 169,662.48
  5. Step 5: Solve for x
    x = 169,662.48/358.31
  6. Step 6: Final answer
    x = 473.51

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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.