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Finding the Fourth Proportional to 267.74, 399.77 and 238.51

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Solution

The fourth proportional to 267.74, 399.77 and 238.51 is: 356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.74 : 399.77 = 238.51 : x
  2. Step 2: Convert to fraction form
    267.74/399.77 = 238.51/x
  3. Step 3: Cross multiply
    267.74x = 399.77 × 238.51
  4. Step 4: Simplify right side
    267.74x = 95,349.14
  5. Step 5: Solve for x
    x = 95,349.14/267.74
  6. Step 6: Final answer
    x = 356.13

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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.