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Finding the Fourth Proportional to 261.34, 393.54 and 227.51

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Solution

The fourth proportional to 261.34, 393.54 and 227.51 is: 342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.34 : 393.54 = 227.51 : x
  2. Step 2: Convert to fraction form
    261.34/393.54 = 227.51/x
  3. Step 3: Cross multiply
    261.34x = 393.54 × 227.51
  4. Step 4: Simplify right side
    261.34x = 89,532.32
  5. Step 5: Solve for x
    x = 89,532.32/261.34
  6. Step 6: Final answer
    x = 342.59

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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.