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Finding the Fourth Proportional to 630.76, 945.78 and 240.74

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Solution

The fourth proportional to 630.76, 945.78 and 240.74 is: 360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.76 : 945.78 = 240.74 : x
  2. Step 2: Convert to fraction form
    630.76/945.78 = 240.74/x
  3. Step 3: Cross multiply
    630.76x = 945.78 × 240.74
  4. Step 4: Simplify right side
    630.76x = 227,687.08
  5. Step 5: Solve for x
    x = 227,687.08/630.76
  6. Step 6: Final answer
    x = 360.97

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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.