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Finding the Fourth Proportional to 358.18, 539.41 and 315.31

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Solution

The fourth proportional to 358.18, 539.41 and 315.31 is: 474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.18 : 539.41 = 315.31 : x
  2. Step 2: Convert to fraction form
    358.18/539.41 = 315.31/x
  3. Step 3: Cross multiply
    358.18x = 539.41 × 315.31
  4. Step 4: Simplify right side
    358.18x = 170,082.44
  5. Step 5: Solve for x
    x = 170,082.44/358.18
  6. Step 6: Final answer
    x = 474.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.