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Finding the Fourth Proportional to 285.66, 425.93 and 267.03

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Solution

The fourth proportional to 285.66, 425.93 and 267.03 is: 398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.66 : 425.93 = 267.03 : x
  2. Step 2: Convert to fraction form
    285.66/425.93 = 267.03/x
  3. Step 3: Cross multiply
    285.66x = 425.93 × 267.03
  4. Step 4: Simplify right side
    285.66x = 113,734.75
  5. Step 5: Solve for x
    x = 113,734.75/285.66
  6. Step 6: Final answer
    x = 398.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.