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Finding the Fourth Proportional to 285.49, 426.07 and 278.20

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Solution

The fourth proportional to 285.49, 426.07 and 278.20 is: 415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.49 : 426.07 = 278.20 : x
  2. Step 2: Convert to fraction form
    285.49/426.07 = 278.20/x
  3. Step 3: Cross multiply
    285.49x = 426.07 × 278.20
  4. Step 4: Simplify right side
    285.49x = 118,532.67
  5. Step 5: Solve for x
    x = 118,532.67/285.49
  6. Step 6: Final answer
    x = 415.19

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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.