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Finding the Fourth Proportional to 345.61, 517.34 and 258.43

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Solution

The fourth proportional to 345.61, 517.34 and 258.43 is: 386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.61 : 517.34 = 258.43 : x
  2. Step 2: Convert to fraction form
    345.61/517.34 = 258.43/x
  3. Step 3: Cross multiply
    345.61x = 517.34 × 258.43
  4. Step 4: Simplify right side
    345.61x = 133,692.30
  5. Step 5: Solve for x
    x = 133,692.30/345.61
  6. Step 6: Final answer
    x = 386.84

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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.