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Finding the Fourth Proportional to 345.23, 517.84 and 139.66

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Solution

The fourth proportional to 345.23, 517.84 and 139.66 is: 209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.23 : 517.84 = 139.66 : x
  2. Step 2: Convert to fraction form
    345.23/517.84 = 139.66/x
  3. Step 3: Cross multiply
    345.23x = 517.84 × 139.66
  4. Step 4: Simplify right side
    345.23x = 72,323.59
  5. Step 5: Solve for x
    x = 72,323.59/345.23
  6. Step 6: Final answer
    x = 209.49

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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.