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Finding the Fourth Proportional to 262.52, 392.96 and 140.48

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Solution

The fourth proportional to 262.52, 392.96 and 140.48 is: 210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.52 : 392.96 = 140.48 : x
  2. Step 2: Convert to fraction form
    262.52/392.96 = 140.48/x
  3. Step 3: Cross multiply
    262.52x = 392.96 × 140.48
  4. Step 4: Simplify right side
    262.52x = 55,201.41
  5. Step 5: Solve for x
    x = 55,201.41/262.52
  6. Step 6: Final answer
    x = 210.28

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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.