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Finding the Fourth Proportional to 261.34, 389.68 and 233.98

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Solution

The fourth proportional to 261.34, 389.68 and 233.98 is: 348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.34 : 389.68 = 233.98 : x
  2. Step 2: Convert to fraction form
    261.34/389.68 = 233.98/x
  3. Step 3: Cross multiply
    261.34x = 389.68 × 233.98
  4. Step 4: Simplify right side
    261.34x = 91,177.33
  5. Step 5: Solve for x
    x = 91,177.33/261.34
  6. Step 6: Final answer
    x = 348.88

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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.