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Finding the Fourth Proportional to 171.86, 237.45 and 136.50

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Solution

The fourth proportional to 171.86, 237.45 and 136.50 is: 188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.86 : 237.45 = 136.50 : x
  2. Step 2: Convert to fraction form
    171.86/237.45 = 136.50/x
  3. Step 3: Cross multiply
    171.86x = 237.45 × 136.50
  4. Step 4: Simplify right side
    171.86x = 32,412.11
  5. Step 5: Solve for x
    x = 32,412.11/171.86
  6. Step 6: Final answer
    x = 188.60

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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.