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Finding the Fourth Proportional to 187.31, 258.50 and 156.17

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Solution

The fourth proportional to 187.31, 258.50 and 156.17 is: 215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.31 : 258.50 = 156.17 : x
  2. Step 2: Convert to fraction form
    187.31/258.50 = 156.17/x
  3. Step 3: Cross multiply
    187.31x = 258.50 × 156.17
  4. Step 4: Simplify right side
    187.31x = 40,369.95
  5. Step 5: Solve for x
    x = 40,369.95/187.31
  6. Step 6: Final answer
    x = 215.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.