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Finding the Fourth Proportional to 268.55, 400.92 and 242.63

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Solution

The fourth proportional to 268.55, 400.92 and 242.63 is: 362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.55 : 400.92 = 242.63 : x
  2. Step 2: Convert to fraction form
    268.55/400.92 = 242.63/x
  3. Step 3: Cross multiply
    268.55x = 400.92 × 242.63
  4. Step 4: Simplify right side
    268.55x = 97,273.22
  5. Step 5: Solve for x
    x = 97,273.22/268.55
  6. Step 6: Final answer
    x = 362.22

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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.