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Finding the Fourth Proportional to 261.63, 392.85 and 180.83

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Solution

The fourth proportional to 261.63, 392.85 and 180.83 is: 271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.63 : 392.85 = 180.83 : x
  2. Step 2: Convert to fraction form
    261.63/392.85 = 180.83/x
  3. Step 3: Cross multiply
    261.63x = 392.85 × 180.83
  4. Step 4: Simplify right side
    261.63x = 71,040.05
  5. Step 5: Solve for x
    x = 71,040.05/261.63
  6. Step 6: Final answer
    x = 271.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.