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Finding the Fourth Proportional to 261.55, 360.91 and 149.54

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Solution

The fourth proportional to 261.55, 360.91 and 149.54 is: 206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.55 : 360.91 = 149.54 : x
  2. Step 2: Convert to fraction form
    261.55/360.91 = 149.54/x
  3. Step 3: Cross multiply
    261.55x = 360.91 × 149.54
  4. Step 4: Simplify right side
    261.55x = 53,970.48
  5. Step 5: Solve for x
    x = 53,970.48/261.55
  6. Step 6: Final answer
    x = 206.35

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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.