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Finding the Fourth Proportional to 267.53, 399.64 and 193.82

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Solution

The fourth proportional to 267.53, 399.64 and 193.82 is: 289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.53 : 399.64 = 193.82 : x
  2. Step 2: Convert to fraction form
    267.53/399.64 = 193.82/x
  3. Step 3: Cross multiply
    267.53x = 399.64 × 193.82
  4. Step 4: Simplify right side
    267.53x = 77,455.74
  5. Step 5: Solve for x
    x = 77,455.74/267.53
  6. Step 6: Final answer
    x = 289.53

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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.