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Finding the Fourth Proportional to 454.08, 681.15 and 180.18

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Solution

The fourth proportional to 454.08, 681.15 and 180.18 is: 270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.08 : 681.15 = 180.18 : x
  2. Step 2: Convert to fraction form
    454.08/681.15 = 180.18/x
  3. Step 3: Cross multiply
    454.08x = 681.15 × 180.18
  4. Step 4: Simplify right side
    454.08x = 122,729.61
  5. Step 5: Solve for x
    x = 122,729.61/454.08
  6. Step 6: Final answer
    x = 270.28

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1.5x scale

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.