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Finding the Fourth Proportional to 486.25, 729.32 and 178.02

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Solution

The fourth proportional to 486.25, 729.32 and 178.02 is: 267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.25 : 729.32 = 178.02 : x
  2. Step 2: Convert to fraction form
    486.25/729.32 = 178.02/x
  3. Step 3: Cross multiply
    486.25x = 729.32 × 178.02
  4. Step 4: Simplify right side
    486.25x = 129,832.66
  5. Step 5: Solve for x
    x = 129,832.66/486.25
  6. Step 6: Final answer
    x = 267.01

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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.