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Finding the Fourth Proportional to 342.17, 512.10 and 187.68

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Solution

The fourth proportional to 342.17, 512.10 and 187.68 is: 280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.17 : 512.10 = 187.68 : x
  2. Step 2: Convert to fraction form
    342.17/512.10 = 187.68/x
  3. Step 3: Cross multiply
    342.17x = 512.10 × 187.68
  4. Step 4: Simplify right side
    342.17x = 96,110.93
  5. Step 5: Solve for x
    x = 96,110.93/342.17
  6. Step 6: Final answer
    x = 280.89

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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.