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Finding the Fourth Proportional to 247.84, 342.02 and 137.31

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Solution

The fourth proportional to 247.84, 342.02 and 137.31 is: 189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.84 : 342.02 = 137.31 : x
  2. Step 2: Convert to fraction form
    247.84/342.02 = 137.31/x
  3. Step 3: Cross multiply
    247.84x = 342.02 × 137.31
  4. Step 4: Simplify right side
    247.84x = 46,962.77
  5. Step 5: Solve for x
    x = 46,962.77/247.84
  6. Step 6: Final answer
    x = 189.49

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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.