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Finding the Fourth Proportional to 949.88, 1,424.81 and 265.88

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Solution

The fourth proportional to 949.88, 1,424.81 and 265.88 is: 398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.88 : 1,424.81 = 265.88 : x
  2. Step 2: Convert to fraction form
    949.88/1,424.81 = 265.88/x
  3. Step 3: Cross multiply
    949.88x = 1,424.81 × 265.88
  4. Step 4: Simplify right side
    949.88x = 378,822.02
  5. Step 5: Solve for x
    x = 378,822.02/949.88
  6. Step 6: Final answer
    x = 398.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.