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Finding the Fourth Proportional to 261.56, 361 and 151.11

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Solution

The fourth proportional to 261.56, 361 and 151.11 is: 208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.56 : 361 = 151.11 : x
  2. Step 2: Convert to fraction form
    261.56/361 = 151.11/x
  3. Step 3: Cross multiply
    261.56x = 361 × 151.11
  4. Step 4: Simplify right side
    261.56x = 54,550.71
  5. Step 5: Solve for x
    x = 54,550.71/261.56
  6. Step 6: Final answer
    x = 208.56

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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.