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Finding the Fourth Proportional to 285.37, 426.20 and 269.58

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Solution

The fourth proportional to 285.37, 426.20 and 269.58 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.37 : 426.20 = 269.58 : x
  2. Step 2: Convert to fraction form
    285.37/426.20 = 269.58/x
  3. Step 3: Cross multiply
    285.37x = 426.20 × 269.58
  4. Step 4: Simplify right side
    285.37x = 114,894.07
  5. Step 5: Solve for x
    x = 114,894.07/285.37
  6. Step 6: Final answer
    x = 402.61

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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.