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Finding the Fourth Proportional to 282.64, 424.08 and 258.88

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Solution

The fourth proportional to 282.64, 424.08 and 258.88 is: 388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.64 : 424.08 = 258.88 : x
  2. Step 2: Convert to fraction form
    282.64/424.08 = 258.88/x
  3. Step 3: Cross multiply
    282.64x = 424.08 × 258.88
  4. Step 4: Simplify right side
    282.64x = 109,785.83
  5. Step 5: Solve for x
    x = 109,785.83/282.64
  6. Step 6: Final answer
    x = 388.43

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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.