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Finding the Fourth Proportional to 261.62, 394.79 and 259.59

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Solution

The fourth proportional to 261.62, 394.79 and 259.59 is: 391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.62 : 394.79 = 259.59 : x
  2. Step 2: Convert to fraction form
    261.62/394.79 = 259.59/x
  3. Step 3: Cross multiply
    261.62x = 394.79 × 259.59
  4. Step 4: Simplify right side
    261.62x = 102,482.24
  5. Step 5: Solve for x
    x = 102,482.24/261.62
  6. Step 6: Final answer
    x = 391.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.