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Finding the Fourth Proportional to 187.03, 256.71 and 165.84

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Solution

The fourth proportional to 187.03, 256.71 and 165.84 is: 227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.03 : 256.71 = 165.84 : x
  2. Step 2: Convert to fraction form
    187.03/256.71 = 165.84/x
  3. Step 3: Cross multiply
    187.03x = 256.71 × 165.84
  4. Step 4: Simplify right side
    187.03x = 42,572.79
  5. Step 5: Solve for x
    x = 42,572.79/187.03
  6. Step 6: Final answer
    x = 227.63

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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.