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Finding the Fourth Proportional to 261.18, 391.23 and 203.34

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Solution

The fourth proportional to 261.18, 391.23 and 203.34 is: 304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.18 : 391.23 = 203.34 : x
  2. Step 2: Convert to fraction form
    261.18/391.23 = 203.34/x
  3. Step 3: Cross multiply
    261.18x = 391.23 × 203.34
  4. Step 4: Simplify right side
    261.18x = 79,552.71
  5. Step 5: Solve for x
    x = 79,552.71/261.18
  6. Step 6: Final answer
    x = 304.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.