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Finding the Fourth Proportional to 282.30, 425.55 and 263.48

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Solution

The fourth proportional to 282.30, 425.55 and 263.48 is: 397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.30 : 425.55 = 263.48 : x
  2. Step 2: Convert to fraction form
    282.30/425.55 = 263.48/x
  3. Step 3: Cross multiply
    282.30x = 425.55 × 263.48
  4. Step 4: Simplify right side
    282.30x = 112,123.97
  5. Step 5: Solve for x
    x = 112,123.97/282.30
  6. Step 6: Final answer
    x = 397.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.