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Finding the Fourth Proportional to 450.32, 621.52 and 284.66

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Solution

The fourth proportional to 450.32, 621.52 and 284.66 is: 392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.32 : 621.52 = 284.66 : x
  2. Step 2: Convert to fraction form
    450.32/621.52 = 284.66/x
  3. Step 3: Cross multiply
    450.32x = 621.52 × 284.66
  4. Step 4: Simplify right side
    450.32x = 176,921.88
  5. Step 5: Solve for x
    x = 176,921.88/450.32
  6. Step 6: Final answer
    x = 392.88

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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.