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Finding the Fourth Proportional to 648.01, 971.97 and 185.78

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Solution

The fourth proportional to 648.01, 971.97 and 185.78 is: 278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.01 : 971.97 = 185.78 : x
  2. Step 2: Convert to fraction form
    648.01/971.97 = 185.78/x
  3. Step 3: Cross multiply
    648.01x = 971.97 × 185.78
  4. Step 4: Simplify right side
    648.01x = 180,572.59
  5. Step 5: Solve for x
    x = 180,572.59/648.01
  6. Step 6: Final answer
    x = 278.66

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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.