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Finding the Fourth Proportional to 248.01, 342.25 and 154.70

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Solution

The fourth proportional to 248.01, 342.25 and 154.70 is: 213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.01 : 342.25 = 154.70 : x
  2. Step 2: Convert to fraction form
    248.01/342.25 = 154.70/x
  3. Step 3: Cross multiply
    248.01x = 342.25 × 154.70
  4. Step 4: Simplify right side
    248.01x = 52,945.84
  5. Step 5: Solve for x
    x = 52,945.84/248.01
  6. Step 6: Final answer
    x = 213.49

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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.