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Finding the Fourth Proportional to 153.08, 229.32 and 114.33

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Solution

The fourth proportional to 153.08, 229.32 and 114.33 is: 171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.08 : 229.32 = 114.33 : x
  2. Step 2: Convert to fraction form
    153.08/229.32 = 114.33/x
  3. Step 3: Cross multiply
    153.08x = 229.32 × 114.33
  4. Step 4: Simplify right side
    153.08x = 26,218.16
  5. Step 5: Solve for x
    x = 26,218.16/153.08
  6. Step 6: Final answer
    x = 171.28

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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.