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Finding the Fourth Proportional to 248.90, 343.50 and 150.65

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Solution

The fourth proportional to 248.90, 343.50 and 150.65 is: 207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.90 : 343.50 = 150.65 : x
  2. Step 2: Convert to fraction form
    248.90/343.50 = 150.65/x
  3. Step 3: Cross multiply
    248.90x = 343.50 × 150.65
  4. Step 4: Simplify right side
    248.90x = 51,749.13
  5. Step 5: Solve for x
    x = 51,749.13/248.90
  6. Step 6: Final answer
    x = 207.91

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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.