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Finding the Fourth Proportional to 285.45, 425.98 and 254.69

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Solution

The fourth proportional to 285.45, 425.98 and 254.69 is: 380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.45 : 425.98 = 254.69 : x
  2. Step 2: Convert to fraction form
    285.45/425.98 = 254.69/x
  3. Step 3: Cross multiply
    285.45x = 425.98 × 254.69
  4. Step 4: Simplify right side
    285.45x = 108,492.85
  5. Step 5: Solve for x
    x = 108,492.85/285.45
  6. Step 6: Final answer
    x = 380.08

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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.