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Finding the Fourth Proportional to 268, 399.91 and 243.76

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Solution

The fourth proportional to 268, 399.91 and 243.76 is: 363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268 : 399.91 = 243.76 : x
  2. Step 2: Convert to fraction form
    268/399.91 = 243.76/x
  3. Step 3: Cross multiply
    268x = 399.91 × 243.76
  4. Step 4: Simplify right side
    268x = 97,482.06
  5. Step 5: Solve for x
    x = 97,482.06/268
  6. Step 6: Final answer
    x = 363.74

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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.