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Finding the Fourth Proportional to 480.65, 663.17 and 284.22

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Solution

The fourth proportional to 480.65, 663.17 and 284.22 is: 392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.65 : 663.17 = 284.22 : x
  2. Step 2: Convert to fraction form
    480.65/663.17 = 284.22/x
  3. Step 3: Cross multiply
    480.65x = 663.17 × 284.22
  4. Step 4: Simplify right side
    480.65x = 188,484.76
  5. Step 5: Solve for x
    x = 188,484.76/480.65
  6. Step 6: Final answer
    x = 392.15

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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.