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Finding the Fourth Proportional to 152.33, 229.31 and 116.42

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Solution

The fourth proportional to 152.33, 229.31 and 116.42 is: 175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.33 : 229.31 = 116.42 : x
  2. Step 2: Convert to fraction form
    152.33/229.31 = 116.42/x
  3. Step 3: Cross multiply
    152.33x = 229.31 × 116.42
  4. Step 4: Simplify right side
    152.33x = 26,694.98
  5. Step 5: Solve for x
    x = 26,694.98/152.33
  6. Step 6: Final answer
    x = 175.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.