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Finding the Fourth Proportional to 284.32, 387.28 and 278.96

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Solution

The fourth proportional to 284.32, 387.28 and 278.96 is: 379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.32 : 387.28 = 278.96 : x
  2. Step 2: Convert to fraction form
    284.32/387.28 = 278.96/x
  3. Step 3: Cross multiply
    284.32x = 387.28 × 278.96
  4. Step 4: Simplify right side
    284.32x = 108,035.63
  5. Step 5: Solve for x
    x = 108,035.63/284.32
  6. Step 6: Final answer
    x = 379.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.