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Finding the Fourth Proportional to 263.46, 392.96 and 258.60

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Solution

The fourth proportional to 263.46, 392.96 and 258.60 is: 385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.46 : 392.96 = 258.60 : x
  2. Step 2: Convert to fraction form
    263.46/392.96 = 258.60/x
  3. Step 3: Cross multiply
    263.46x = 392.96 × 258.60
  4. Step 4: Simplify right side
    263.46x = 101,618.16
  5. Step 5: Solve for x
    x = 101,618.16/263.46
  6. Step 6: Final answer
    x = 385.71

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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.