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Finding the Fourth Proportional to 187.97, 257.46 and 176.90

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Solution

The fourth proportional to 187.97, 257.46 and 176.90 is: 242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.97 : 257.46 = 176.90 : x
  2. Step 2: Convert to fraction form
    187.97/257.46 = 176.90/x
  3. Step 3: Cross multiply
    187.97x = 257.46 × 176.90
  4. Step 4: Simplify right side
    187.97x = 45,543.79
  5. Step 5: Solve for x
    x = 45,543.79/187.97
  6. Step 6: Final answer
    x = 242.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.