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Finding the Fourth Proportional to 261.30, 393.50 and 227.47

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Solution

The fourth proportional to 261.30, 393.50 and 227.47 is: 342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.30 : 393.50 = 227.47 : x
  2. Step 2: Convert to fraction form
    261.30/393.50 = 227.47/x
  3. Step 3: Cross multiply
    261.30x = 393.50 × 227.47
  4. Step 4: Simplify right side
    261.30x = 89,509.44
  5. Step 5: Solve for x
    x = 89,509.44/261.30
  6. Step 6: Final answer
    x = 342.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.