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Finding the Fourth Proportional to 282.76, 424.32 and 265.12

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Solution

The fourth proportional to 282.76, 424.32 and 265.12 is: 397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.76 : 424.32 = 265.12 : x
  2. Step 2: Convert to fraction form
    282.76/424.32 = 265.12/x
  3. Step 3: Cross multiply
    282.76x = 424.32 × 265.12
  4. Step 4: Simplify right side
    282.76x = 112,495.72
  5. Step 5: Solve for x
    x = 112,495.72/282.76
  6. Step 6: Final answer
    x = 397.85

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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.