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Finding the Fourth Proportional to 489.04, 732.90 and 200.32

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Solution

The fourth proportional to 489.04, 732.90 and 200.32 is: 300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.04 : 732.90 = 200.32 : x
  2. Step 2: Convert to fraction form
    489.04/732.90 = 200.32/x
  3. Step 3: Cross multiply
    489.04x = 732.90 × 200.32
  4. Step 4: Simplify right side
    489.04x = 146,814.53
  5. Step 5: Solve for x
    x = 146,814.53/489.04
  6. Step 6: Final answer
    x = 300.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.