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Finding the Fourth Proportional to 187.71, 257.65 and 166.51

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Solution

The fourth proportional to 187.71, 257.65 and 166.51 is: 228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.71 : 257.65 = 166.51 : x
  2. Step 2: Convert to fraction form
    187.71/257.65 = 166.51/x
  3. Step 3: Cross multiply
    187.71x = 257.65 × 166.51
  4. Step 4: Simplify right side
    187.71x = 42,901.30
  5. Step 5: Solve for x
    x = 42,901.30/187.71
  6. Step 6: Final answer
    x = 228.55

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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.