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Finding the Fourth Proportional to 403.28, 555.93 and 284.88

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Solution

The fourth proportional to 403.28, 555.93 and 284.88 is: 392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.28 : 555.93 = 284.88 : x
  2. Step 2: Convert to fraction form
    403.28/555.93 = 284.88/x
  3. Step 3: Cross multiply
    403.28x = 555.93 × 284.88
  4. Step 4: Simplify right side
    403.28x = 158,371.91
  5. Step 5: Solve for x
    x = 158,371.91/403.28
  6. Step 6: Final answer
    x = 392.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.