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Finding the Fourth Proportional to 261.06, 359.19 and 239.46

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Solution

The fourth proportional to 261.06, 359.19 and 239.46 is: 329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.06 : 359.19 = 239.46 : x
  2. Step 2: Convert to fraction form
    261.06/359.19 = 239.46/x
  3. Step 3: Cross multiply
    261.06x = 359.19 × 239.46
  4. Step 4: Simplify right side
    261.06x = 86,011.64
  5. Step 5: Solve for x
    x = 86,011.64/261.06
  6. Step 6: Final answer
    x = 329.47

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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.