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Finding the Fourth Proportional to 153.88, 229.82 and 130.80

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Solution

The fourth proportional to 153.88, 229.82 and 130.80 is: 195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.88 : 229.82 = 130.80 : x
  2. Step 2: Convert to fraction form
    153.88/229.82 = 130.80/x
  3. Step 3: Cross multiply
    153.88x = 229.82 × 130.80
  4. Step 4: Simplify right side
    153.88x = 30,060.46
  5. Step 5: Solve for x
    x = 30,060.46/153.88
  6. Step 6: Final answer
    x = 195.35

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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.