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Finding the Fourth Proportional to 261.48, 389.40 and 239.88

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Solution

The fourth proportional to 261.48, 389.40 and 239.88 is: 357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.48 : 389.40 = 239.88 : x
  2. Step 2: Convert to fraction form
    261.48/389.40 = 239.88/x
  3. Step 3: Cross multiply
    261.48x = 389.40 × 239.88
  4. Step 4: Simplify right side
    261.48x = 93,409.27
  5. Step 5: Solve for x
    x = 93,409.27/261.48
  6. Step 6: Final answer
    x = 357.23

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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.