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Finding the Fourth Proportional to 265.77, 367.20 and 207.90

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Solution

The fourth proportional to 265.77, 367.20 and 207.90 is: 287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.77 : 367.20 = 207.90 : x
  2. Step 2: Convert to fraction form
    265.77/367.20 = 207.90/x
  3. Step 3: Cross multiply
    265.77x = 367.20 × 207.90
  4. Step 4: Simplify right side
    265.77x = 76,340.88
  5. Step 5: Solve for x
    x = 76,340.88/265.77
  6. Step 6: Final answer
    x = 287.24

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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.