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Finding the Fourth Proportional to 285.84, 426.60 and 283.95

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Solution

The fourth proportional to 285.84, 426.60 and 283.95 is: 423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.84 : 426.60 = 283.95 : x
  2. Step 2: Convert to fraction form
    285.84/426.60 = 283.95/x
  3. Step 3: Cross multiply
    285.84x = 426.60 × 283.95
  4. Step 4: Simplify right side
    285.84x = 121,133.07
  5. Step 5: Solve for x
    x = 121,133.07/285.84
  6. Step 6: Final answer
    x = 423.78

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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.