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Finding the Fourth Proportional to 280.13, 422.30 and 265.23

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Solution

The fourth proportional to 280.13, 422.30 and 265.23 is: 399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.13 : 422.30 = 265.23 : x
  2. Step 2: Convert to fraction form
    280.13/422.30 = 265.23/x
  3. Step 3: Cross multiply
    280.13x = 422.30 × 265.23
  4. Step 4: Simplify right side
    280.13x = 112,007.29
  5. Step 5: Solve for x
    x = 112,007.29/280.13
  6. Step 6: Final answer
    x = 399.85

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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.