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Finding the Fourth Proportional to 187.47, 256.77 and 176.40

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Solution

The fourth proportional to 187.47, 256.77 and 176.40 is: 241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.47 : 256.77 = 176.40 : x
  2. Step 2: Convert to fraction form
    187.47/256.77 = 176.40/x
  3. Step 3: Cross multiply
    187.47x = 256.77 × 176.40
  4. Step 4: Simplify right side
    187.47x = 45,294.23
  5. Step 5: Solve for x
    x = 45,294.23/187.47
  6. Step 6: Final answer
    x = 241.61

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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.