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Finding the Fourth Proportional to 261.60, 361 and 151.12

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Solution

The fourth proportional to 261.60, 361 and 151.12 is: 208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.60 : 361 = 151.12 : x
  2. Step 2: Convert to fraction form
    261.60/361 = 151.12/x
  3. Step 3: Cross multiply
    261.60x = 361 × 151.12
  4. Step 4: Simplify right side
    261.60x = 54,554.32
  5. Step 5: Solve for x
    x = 54,554.32/261.60
  6. Step 6: Final answer
    x = 208.54

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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.