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Finding the Fourth Proportional to 285.75, 426.38 and 246.87

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Solution

The fourth proportional to 285.75, 426.38 and 246.87 is: 368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 426.38 = 246.87 : x
  2. Step 2: Convert to fraction form
    285.75/426.38 = 246.87/x
  3. Step 3: Cross multiply
    285.75x = 426.38 × 246.87
  4. Step 4: Simplify right side
    285.75x = 105,259.20
  5. Step 5: Solve for x
    x = 105,259.20/285.75
  6. Step 6: Final answer
    x = 368.36

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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.