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Finding the Fourth Proportional to 318.99, 478.02 and 136.13

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Solution

The fourth proportional to 318.99, 478.02 and 136.13 is: 203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.99 : 478.02 = 136.13 : x
  2. Step 2: Convert to fraction form
    318.99/478.02 = 136.13/x
  3. Step 3: Cross multiply
    318.99x = 478.02 × 136.13
  4. Step 4: Simplify right side
    318.99x = 65,070.47
  5. Step 5: Solve for x
    x = 65,070.47/318.99
  6. Step 6: Final answer
    x = 203.99

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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.