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Finding the Fourth Proportional to 265.88, 367.12 and 207.56

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Solution

The fourth proportional to 265.88, 367.12 and 207.56 is: 286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.88 : 367.12 = 207.56 : x
  2. Step 2: Convert to fraction form
    265.88/367.12 = 207.56/x
  3. Step 3: Cross multiply
    265.88x = 367.12 × 207.56
  4. Step 4: Simplify right side
    265.88x = 76,199.43
  5. Step 5: Solve for x
    x = 76,199.43/265.88
  6. Step 6: Final answer
    x = 286.59

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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.