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Finding the Fourth Proportional to 261.54, 360.99 and 206.66

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Solution

The fourth proportional to 261.54, 360.99 and 206.66 is: 285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.54 : 360.99 = 206.66 : x
  2. Step 2: Convert to fraction form
    261.54/360.99 = 206.66/x
  3. Step 3: Cross multiply
    261.54x = 360.99 × 206.66
  4. Step 4: Simplify right side
    261.54x = 74,603.10
  5. Step 5: Solve for x
    x = 74,603.10/261.54
  6. Step 6: Final answer
    x = 285.25

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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.