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Finding the Fourth Proportional to 285.55, 426.33 and 268.18

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Solution

The fourth proportional to 285.55, 426.33 and 268.18 is: 400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.55 : 426.33 = 268.18 : x
  2. Step 2: Convert to fraction form
    285.55/426.33 = 268.18/x
  3. Step 3: Cross multiply
    285.55x = 426.33 × 268.18
  4. Step 4: Simplify right side
    285.55x = 114,332.11
  5. Step 5: Solve for x
    x = 114,332.11/285.55
  6. Step 6: Final answer
    x = 400.40

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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.