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Finding the Fourth Proportional to 263.28, 392.72 and 258.42

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Solution

The fourth proportional to 263.28, 392.72 and 258.42 is: 385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.28 : 392.72 = 258.42 : x
  2. Step 2: Convert to fraction form
    263.28/392.72 = 258.42/x
  3. Step 3: Cross multiply
    263.28x = 392.72 × 258.42
  4. Step 4: Simplify right side
    263.28x = 101,486.70
  5. Step 5: Solve for x
    x = 101,486.70/263.28
  6. Step 6: Final answer
    x = 385.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.