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Finding the Fourth Proportional to 261.32, 393.95 and 243.70

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Solution

The fourth proportional to 261.32, 393.95 and 243.70 is: 367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.32 : 393.95 = 243.70 : x
  2. Step 2: Convert to fraction form
    261.32/393.95 = 243.70/x
  3. Step 3: Cross multiply
    261.32x = 393.95 × 243.70
  4. Step 4: Simplify right side
    261.32x = 96,005.62
  5. Step 5: Solve for x
    x = 96,005.62/261.32
  6. Step 6: Final answer
    x = 367.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.