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Finding the Fourth Proportional to 283.68, 424.80 and 256.32

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Solution

The fourth proportional to 283.68, 424.80 and 256.32 is: 383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.68 : 424.80 = 256.32 : x
  2. Step 2: Convert to fraction form
    283.68/424.80 = 256.32/x
  3. Step 3: Cross multiply
    283.68x = 424.80 × 256.32
  4. Step 4: Simplify right side
    283.68x = 108,884.74
  5. Step 5: Solve for x
    x = 108,884.74/283.68
  6. Step 6: Final answer
    x = 383.83

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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.