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Finding the Fourth Proportional to 319.82, 477.05 and 267.89

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Solution

The fourth proportional to 319.82, 477.05 and 267.89 is: 399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.82 : 477.05 = 267.89 : x
  2. Step 2: Convert to fraction form
    319.82/477.05 = 267.89/x
  3. Step 3: Cross multiply
    319.82x = 477.05 × 267.89
  4. Step 4: Simplify right side
    319.82x = 127,793.20
  5. Step 5: Solve for x
    x = 127,793.20/319.82
  6. Step 6: Final answer
    x = 399.58

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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.