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Finding the Fourth Proportional to 268.53, 400.91 and 237.45

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Solution

The fourth proportional to 268.53, 400.91 and 237.45 is: 354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.53 : 400.91 = 237.45 : x
  2. Step 2: Convert to fraction form
    268.53/400.91 = 237.45/x
  3. Step 3: Cross multiply
    268.53x = 400.91 × 237.45
  4. Step 4: Simplify right side
    268.53x = 95,194.89
  5. Step 5: Solve for x
    x = 95,194.89/268.53
  6. Step 6: Final answer
    x = 354.50

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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.