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Finding the Fourth Proportional to 268.58, 400.68 and 237.80

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Solution

The fourth proportional to 268.58, 400.68 and 237.80 is: 354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.58 : 400.68 = 237.80 : x
  2. Step 2: Convert to fraction form
    268.58/400.68 = 237.80/x
  3. Step 3: Cross multiply
    268.58x = 400.68 × 237.80
  4. Step 4: Simplify right side
    268.58x = 95,282.71
  5. Step 5: Solve for x
    x = 95,282.71/268.58
  6. Step 6: Final answer
    x = 354.76

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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.