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Finding the Fourth Proportional to 153.32, 229.89 and 75.19

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Solution

The fourth proportional to 153.32, 229.89 and 75.19 is: 112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.32 : 229.89 = 75.19 : x
  2. Step 2: Convert to fraction form
    153.32/229.89 = 75.19/x
  3. Step 3: Cross multiply
    153.32x = 229.89 × 75.19
  4. Step 4: Simplify right side
    153.32x = 17,284.50
  5. Step 5: Solve for x
    x = 17,284.50/153.32
  6. Step 6: Final answer
    x = 112.74

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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.