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Finding the Fourth Proportional to 331.07, 493.24 and 315.59

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Solution

The fourth proportional to 331.07, 493.24 and 315.59 is: 470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.07 : 493.24 = 315.59 : x
  2. Step 2: Convert to fraction form
    331.07/493.24 = 315.59/x
  3. Step 3: Cross multiply
    331.07x = 493.24 × 315.59
  4. Step 4: Simplify right side
    331.07x = 155,661.61
  5. Step 5: Solve for x
    x = 155,661.61/331.07
  6. Step 6: Final answer
    x = 470.18

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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.