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Finding the Fourth Proportional to 296.58, 443.06 and 285.78

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Solution

The fourth proportional to 296.58, 443.06 and 285.78 is: 426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.58 : 443.06 = 285.78 : x
  2. Step 2: Convert to fraction form
    296.58/443.06 = 285.78/x
  3. Step 3: Cross multiply
    296.58x = 443.06 × 285.78
  4. Step 4: Simplify right side
    296.58x = 126,618.40
  5. Step 5: Solve for x
    x = 126,618.40/296.58
  6. Step 6: Final answer
    x = 426.93

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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.