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Finding the Fourth Proportional to 261.33, 390.23 and 227.17

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Solution

The fourth proportional to 261.33, 390.23 and 227.17 is: 339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.33 : 390.23 = 227.17 : x
  2. Step 2: Convert to fraction form
    261.33/390.23 = 227.17/x
  3. Step 3: Cross multiply
    261.33x = 390.23 × 227.17
  4. Step 4: Simplify right side
    261.33x = 88,648.55
  5. Step 5: Solve for x
    x = 88,648.55/261.33
  6. Step 6: Final answer
    x = 339.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.