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Finding the Fourth Proportional to 280, 386.45 and 267.70

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Solution

The fourth proportional to 280, 386.45 and 267.70 is: 369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280 : 386.45 = 267.70 : x
  2. Step 2: Convert to fraction form
    280/386.45 = 267.70/x
  3. Step 3: Cross multiply
    280x = 386.45 × 267.70
  4. Step 4: Simplify right side
    280x = 103,452.67
  5. Step 5: Solve for x
    x = 103,452.67/280
  6. Step 6: Final answer
    x = 369.47

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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.