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Finding the Fourth Proportional to 488.65, 733.16 and 254.24

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Solution

The fourth proportional to 488.65, 733.16 and 254.24 is: 381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.65 : 733.16 = 254.24 : x
  2. Step 2: Convert to fraction form
    488.65/733.16 = 254.24/x
  3. Step 3: Cross multiply
    488.65x = 733.16 × 254.24
  4. Step 4: Simplify right side
    488.65x = 186,397.33
  5. Step 5: Solve for x
    x = 186,397.33/488.65
  6. Step 6: Final answer
    x = 381.45

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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.