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Finding the Fourth Proportional to 285.76, 426.29 and 278.56

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Solution

The fourth proportional to 285.76, 426.29 and 278.56 is: 415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.76 : 426.29 = 278.56 : x
  2. Step 2: Convert to fraction form
    285.76/426.29 = 278.56/x
  3. Step 3: Cross multiply
    285.76x = 426.29 × 278.56
  4. Step 4: Simplify right side
    285.76x = 118,747.34
  5. Step 5: Solve for x
    x = 118,747.34/285.76
  6. Step 6: Final answer
    x = 415.55

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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.