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Finding the Fourth Proportional to 261.47, 360.69 and 156.46

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Solution

The fourth proportional to 261.47, 360.69 and 156.46 is: 215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.47 : 360.69 = 156.46 : x
  2. Step 2: Convert to fraction form
    261.47/360.69 = 156.46/x
  3. Step 3: Cross multiply
    261.47x = 360.69 × 156.46
  4. Step 4: Simplify right side
    261.47x = 56,431.75
  5. Step 5: Solve for x
    x = 56,431.75/261.47
  6. Step 6: Final answer
    x = 215.82

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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.