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Finding the Fourth Proportional to 153.92, 211.54 and 149.60

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Solution

The fourth proportional to 153.92, 211.54 and 149.60 is: 205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.92 : 211.54 = 149.60 : x
  2. Step 2: Convert to fraction form
    153.92/211.54 = 149.60/x
  3. Step 3: Cross multiply
    153.92x = 211.54 × 149.60
  4. Step 4: Simplify right side
    153.92x = 31,646.38
  5. Step 5: Solve for x
    x = 31,646.38/153.92
  6. Step 6: Final answer
    x = 205.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.