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Finding the Fourth Proportional to 285.16, 425.56 and 254.40

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Solution

The fourth proportional to 285.16, 425.56 and 254.40 is: 379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.16 : 425.56 = 254.40 : x
  2. Step 2: Convert to fraction form
    285.16/425.56 = 254.40/x
  3. Step 3: Cross multiply
    285.16x = 425.56 × 254.40
  4. Step 4: Simplify right side
    285.16x = 108,261.19
  5. Step 5: Solve for x
    x = 108,261.19/285.16
  6. Step 6: Final answer
    x = 379.65

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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.