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Finding the Fourth Proportional to 345.92, 519.10 and 129.50

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Solution

The fourth proportional to 345.92, 519.10 and 129.50 is: 194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.92 : 519.10 = 129.50 : x
  2. Step 2: Convert to fraction form
    345.92/519.10 = 129.50/x
  3. Step 3: Cross multiply
    345.92x = 519.10 × 129.50
  4. Step 4: Simplify right side
    345.92x = 67,220.53
  5. Step 5: Solve for x
    x = 67,220.53/345.92
  6. Step 6: Final answer
    x = 194.33

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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.