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Finding the Fourth Proportional to 153.43, 228.80 and 136.83

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Solution

The fourth proportional to 153.43, 228.80 and 136.83 is: 204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.43 : 228.80 = 136.83 : x
  2. Step 2: Convert to fraction form
    153.43/228.80 = 136.83/x
  3. Step 3: Cross multiply
    153.43x = 228.80 × 136.83
  4. Step 4: Simplify right side
    153.43x = 31,306.70
  5. Step 5: Solve for x
    x = 31,306.70/153.43
  6. Step 6: Final answer
    x = 204.05

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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.