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Finding the Fourth Proportional to 480.29, 663.02 and 362.31

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Solution

The fourth proportional to 480.29, 663.02 and 362.31 is: 500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.29 : 663.02 = 362.31 : x
  2. Step 2: Convert to fraction form
    480.29/663.02 = 362.31/x
  3. Step 3: Cross multiply
    480.29x = 663.02 × 362.31
  4. Step 4: Simplify right side
    480.29x = 240,222.17
  5. Step 5: Solve for x
    x = 240,222.17/480.29
  6. Step 6: Final answer
    x = 500.16

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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.