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Finding the Fourth Proportional to 261.35, 390.09 and 239.70

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Solution

The fourth proportional to 261.35, 390.09 and 239.70 is: 357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.35 : 390.09 = 239.70 : x
  2. Step 2: Convert to fraction form
    261.35/390.09 = 239.70/x
  3. Step 3: Cross multiply
    261.35x = 390.09 × 239.70
  4. Step 4: Simplify right side
    261.35x = 93,504.57
  5. Step 5: Solve for x
    x = 93,504.57/261.35
  6. Step 6: Final answer
    x = 357.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.