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Finding the Fourth Proportional to 454.16, 680.76 and 291.90

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Solution

The fourth proportional to 454.16, 680.76 and 291.90 is: 437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.16 : 680.76 = 291.90 : x
  2. Step 2: Convert to fraction form
    454.16/680.76 = 291.90/x
  3. Step 3: Cross multiply
    454.16x = 680.76 × 291.90
  4. Step 4: Simplify right side
    454.16x = 198,713.84
  5. Step 5: Solve for x
    x = 198,713.84/454.16
  6. Step 6: Final answer
    x = 437.54

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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.