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Finding the Fourth Proportional to 248.15, 342.34 and 149.89

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Solution

The fourth proportional to 248.15, 342.34 and 149.89 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.15 : 342.34 = 149.89 : x
  2. Step 2: Convert to fraction form
    248.15/342.34 = 149.89/x
  3. Step 3: Cross multiply
    248.15x = 342.34 × 149.89
  4. Step 4: Simplify right side
    248.15x = 51,313.34
  5. Step 5: Solve for x
    x = 51,313.34/248.15
  6. Step 6: Final answer
    x = 206.78

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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.