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Finding the Fourth Proportional to 268.88, 368.47 and 242.96

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Solution

The fourth proportional to 268.88, 368.47 and 242.96 is: 332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.88 : 368.47 = 242.96 : x
  2. Step 2: Convert to fraction form
    268.88/368.47 = 242.96/x
  3. Step 3: Cross multiply
    268.88x = 368.47 × 242.96
  4. Step 4: Simplify right side
    268.88x = 89,523.47
  5. Step 5: Solve for x
    x = 89,523.47/268.88
  6. Step 6: Final answer
    x = 332.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.