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Finding the Fourth Proportional to 153.85, 229.54 and 147.09

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Solution

The fourth proportional to 153.85, 229.54 and 147.09 is: 219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.85 : 229.54 = 147.09 : x
  2. Step 2: Convert to fraction form
    153.85/229.54 = 147.09/x
  3. Step 3: Cross multiply
    153.85x = 229.54 × 147.09
  4. Step 4: Simplify right side
    153.85x = 33,763.04
  5. Step 5: Solve for x
    x = 33,763.04/153.85
  6. Step 6: Final answer
    x = 219.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.