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Finding the Fourth Proportional to 171.32, 256.37 and 144.59

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Solution

The fourth proportional to 171.32, 256.37 and 144.59 is: 216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.32 : 256.37 = 144.59 : x
  2. Step 2: Convert to fraction form
    171.32/256.37 = 144.59/x
  3. Step 3: Cross multiply
    171.32x = 256.37 × 144.59
  4. Step 4: Simplify right side
    171.32x = 37,066.53
  5. Step 5: Solve for x
    x = 37,066.53/171.32
  6. Step 6: Final answer
    x = 216.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.