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Finding the Fourth Proportional to 491.34, 736.90 and 272.18

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Solution

The fourth proportional to 491.34, 736.90 and 272.18 is: 408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.34 : 736.90 = 272.18 : x
  2. Step 2: Convert to fraction form
    491.34/736.90 = 272.18/x
  3. Step 3: Cross multiply
    491.34x = 736.90 × 272.18
  4. Step 4: Simplify right side
    491.34x = 200,565.76
  5. Step 5: Solve for x
    x = 200,565.76/491.34
  6. Step 6: Final answer
    x = 408.21

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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.