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Finding the Fourth Proportional to 358.48, 539.16 and 315.28

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Solution

The fourth proportional to 358.48, 539.16 and 315.28 is: 474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.48 : 539.16 = 315.28 : x
  2. Step 2: Convert to fraction form
    358.48/539.16 = 315.28/x
  3. Step 3: Cross multiply
    358.48x = 539.16 × 315.28
  4. Step 4: Simplify right side
    358.48x = 169,986.36
  5. Step 5: Solve for x
    x = 169,986.36/358.48
  6. Step 6: Final answer
    x = 474.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.