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Finding the Fourth Proportional to 486.68, 730.01 and 281.11

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Solution

The fourth proportional to 486.68, 730.01 and 281.11 is: 421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.68 : 730.01 = 281.11 : x
  2. Step 2: Convert to fraction form
    486.68/730.01 = 281.11/x
  3. Step 3: Cross multiply
    486.68x = 730.01 × 281.11
  4. Step 4: Simplify right side
    486.68x = 205,213.11
  5. Step 5: Solve for x
    x = 205,213.11/486.68
  6. Step 6: Final answer
    x = 421.66

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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.