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Finding the Fourth Proportional to 262.32, 392.70 and 229.88

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Solution

The fourth proportional to 262.32, 392.70 and 229.88 is: 344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.32 : 392.70 = 229.88 : x
  2. Step 2: Convert to fraction form
    262.32/392.70 = 229.88/x
  3. Step 3: Cross multiply
    262.32x = 392.70 × 229.88
  4. Step 4: Simplify right side
    262.32x = 90,273.88
  5. Step 5: Solve for x
    x = 90,273.88/262.32
  6. Step 6: Final answer
    x = 344.14

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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.