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Finding the Fourth Proportional to 261.89, 392.74 and 107.78

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Solution

The fourth proportional to 261.89, 392.74 and 107.78 is: 161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.89 : 392.74 = 107.78 : x
  2. Step 2: Convert to fraction form
    261.89/392.74 = 107.78/x
  3. Step 3: Cross multiply
    261.89x = 392.74 × 107.78
  4. Step 4: Simplify right side
    261.89x = 42,329.52
  5. Step 5: Solve for x
    x = 42,329.52/261.89
  6. Step 6: Final answer
    x = 161.63

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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.