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Finding the Fourth Proportional to 114.34, 171.51 and 37.31

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Solution

The fourth proportional to 114.34, 171.51 and 37.31 is: 55.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.34 : 171.51 = 37.31 : x
  2. Step 2: Convert to fraction form
    114.34/171.51 = 37.31/x
  3. Step 3: Cross multiply
    114.34x = 171.51 × 37.31
  4. Step 4: Simplify right side
    114.34x = 6,398.18
  5. Step 5: Solve for x
    x = 6,398.18/114.34
  6. Step 6: Final answer
    x = 55.96

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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.