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Finding the Fourth Proportional to 285.78, 426.30 and 264.78

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Solution

The fourth proportional to 285.78, 426.30 and 264.78 is: 394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.78 : 426.30 = 264.78 : x
  2. Step 2: Convert to fraction form
    285.78/426.30 = 264.78/x
  3. Step 3: Cross multiply
    285.78x = 426.30 × 264.78
  4. Step 4: Simplify right side
    285.78x = 112,875.71
  5. Step 5: Solve for x
    x = 112,875.71/285.78
  6. Step 6: Final answer
    x = 394.97

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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.