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Finding the Fourth Proportional to 243.70, 336.32 and 138.77

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Solution

The fourth proportional to 243.70, 336.32 and 138.77 is: 191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.70 : 336.32 = 138.77 : x
  2. Step 2: Convert to fraction form
    243.70/336.32 = 138.77/x
  3. Step 3: Cross multiply
    243.70x = 336.32 × 138.77
  4. Step 4: Simplify right side
    243.70x = 46,671.13
  5. Step 5: Solve for x
    x = 46,671.13/243.70
  6. Step 6: Final answer
    x = 191.51

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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.