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Finding the Fourth Proportional to 285.42, 425.78 and 265.78

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Solution

The fourth proportional to 285.42, 425.78 and 265.78 is: 396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.42 : 425.78 = 265.78 : x
  2. Step 2: Convert to fraction form
    285.42/425.78 = 265.78/x
  3. Step 3: Cross multiply
    285.42x = 425.78 × 265.78
  4. Step 4: Simplify right side
    285.42x = 113,163.81
  5. Step 5: Solve for x
    x = 113,163.81/285.42
  6. Step 6: Final answer
    x = 396.48

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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.