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Finding the Fourth Proportional to 346.61, 517.20 and 344.59

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Solution

The fourth proportional to 346.61, 517.20 and 344.59 is: 514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.61 : 517.20 = 344.59 : x
  2. Step 2: Convert to fraction form
    346.61/517.20 = 344.59/x
  3. Step 3: Cross multiply
    346.61x = 517.20 × 344.59
  4. Step 4: Simplify right side
    346.61x = 178,221.95
  5. Step 5: Solve for x
    x = 178,221.95/346.61
  6. Step 6: Final answer
    x = 514.18

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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.