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Finding the Fourth Proportional to 261.46, 360.86 and 149.47

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Solution

The fourth proportional to 261.46, 360.86 and 149.47 is: 206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.46 : 360.86 = 149.47 : x
  2. Step 2: Convert to fraction form
    261.46/360.86 = 149.47/x
  3. Step 3: Cross multiply
    261.46x = 360.86 × 149.47
  4. Step 4: Simplify right side
    261.46x = 53,935.19
  5. Step 5: Solve for x
    x = 53,935.19/261.46
  6. Step 6: Final answer
    x = 206.28

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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.