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Finding the Fourth Proportional to 328.71, 493.13 and 123.42

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Solution

The fourth proportional to 328.71, 493.13 and 123.42 is: 185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.71 : 493.13 = 123.42 : x
  2. Step 2: Convert to fraction form
    328.71/493.13 = 123.42/x
  3. Step 3: Cross multiply
    328.71x = 493.13 × 123.42
  4. Step 4: Simplify right side
    328.71x = 60,862.10
  5. Step 5: Solve for x
    x = 60,862.10/328.71
  6. Step 6: Final answer
    x = 185.15

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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.