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Finding the Fourth Proportional to 285.53, 426.34 and 234.27

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Solution

The fourth proportional to 285.53, 426.34 and 234.27 is: 349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.53 : 426.34 = 234.27 : x
  2. Step 2: Convert to fraction form
    285.53/426.34 = 234.27/x
  3. Step 3: Cross multiply
    285.53x = 426.34 × 234.27
  4. Step 4: Simplify right side
    285.53x = 99,877.11
  5. Step 5: Solve for x
    x = 99,877.11/285.53
  6. Step 6: Final answer
    x = 349.80

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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.