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Finding the Fourth Proportional to 261.40, 360.66 and 156.44

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Solution

The fourth proportional to 261.40, 360.66 and 156.44 is: 215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.40 : 360.66 = 156.44 : x
  2. Step 2: Convert to fraction form
    261.40/360.66 = 156.44/x
  3. Step 3: Cross multiply
    261.40x = 360.66 × 156.44
  4. Step 4: Simplify right side
    261.40x = 56,422.55
  5. Step 5: Solve for x
    x = 56,422.55/261.40
  6. Step 6: Final answer
    x = 215.85

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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.