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Finding the Fourth Proportional to 346.30, 519.44 and 129.87

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Solution

The fourth proportional to 346.30, 519.44 and 129.87 is: 194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.30 : 519.44 = 129.87 : x
  2. Step 2: Convert to fraction form
    346.30/519.44 = 129.87/x
  3. Step 3: Cross multiply
    346.30x = 519.44 × 129.87
  4. Step 4: Simplify right side
    346.30x = 67,459.02
  5. Step 5: Solve for x
    x = 67,459.02/346.30
  6. Step 6: Final answer
    x = 194.80

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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.