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Finding the Fourth Proportional to 489.10, 733.68 and 160.08

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Solution

The fourth proportional to 489.10, 733.68 and 160.08 is: 240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.10 : 733.68 = 160.08 : x
  2. Step 2: Convert to fraction form
    489.10/733.68 = 160.08/x
  3. Step 3: Cross multiply
    489.10x = 733.68 × 160.08
  4. Step 4: Simplify right side
    489.10x = 117,447.49
  5. Step 5: Solve for x
    x = 117,447.49/489.10
  6. Step 6: Final answer
    x = 240.13

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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.