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Finding the Fourth Proportional to 307.22, 424.13 and 265.86

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Solution

The fourth proportional to 307.22, 424.13 and 265.86 is: 367.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.22 : 424.13 = 265.86 : x
  2. Step 2: Convert to fraction form
    307.22/424.13 = 265.86/x
  3. Step 3: Cross multiply
    307.22x = 424.13 × 265.86
  4. Step 4: Simplify right side
    307.22x = 112,757.87
  5. Step 5: Solve for x
    x = 112,757.87/307.22
  6. Step 6: Final answer
    x = 367.03

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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.