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Finding the Fourth Proportional to 261.71, 361.14 and 151.16

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Solution

The fourth proportional to 261.71, 361.14 and 151.16 is: 208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.71 : 361.14 = 151.16 : x
  2. Step 2: Convert to fraction form
    261.71/361.14 = 151.16/x
  3. Step 3: Cross multiply
    261.71x = 361.14 × 151.16
  4. Step 4: Simplify right side
    261.71x = 54,587.55
  5. Step 5: Solve for x
    x = 54,587.55/261.71
  6. Step 6: Final answer
    x = 208.58

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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.