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Finding the Fourth Proportional to 319.90, 440.76 and 267.25

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Solution

The fourth proportional to 319.90, 440.76 and 267.25 is: 368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.90 : 440.76 = 267.25 : x
  2. Step 2: Convert to fraction form
    319.90/440.76 = 267.25/x
  3. Step 3: Cross multiply
    319.90x = 440.76 × 267.25
  4. Step 4: Simplify right side
    319.90x = 117,793.11
  5. Step 5: Solve for x
    x = 117,793.11/319.90
  6. Step 6: Final answer
    x = 368.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.