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Finding the Fourth Proportional to 262, 392.80 and 140.24

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Solution

The fourth proportional to 262, 392.80 and 140.24 is: 210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262 : 392.80 = 140.24 : x
  2. Step 2: Convert to fraction form
    262/392.80 = 140.24/x
  3. Step 3: Cross multiply
    262x = 392.80 × 140.24
  4. Step 4: Simplify right side
    262x = 55,086.27
  5. Step 5: Solve for x
    x = 55,086.27/262
  6. Step 6: Final answer
    x = 210.25

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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.