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Finding the Fourth Proportional to 248.87, 343.50 and 150.69

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Solution

The fourth proportional to 248.87, 343.50 and 150.69 is: 207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.87 : 343.50 = 150.69 : x
  2. Step 2: Convert to fraction form
    248.87/343.50 = 150.69/x
  3. Step 3: Cross multiply
    248.87x = 343.50 × 150.69
  4. Step 4: Simplify right side
    248.87x = 51,762.02
  5. Step 5: Solve for x
    x = 51,762.02/248.87
  6. Step 6: Final answer
    x = 207.99

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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.