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Finding the Fourth Proportional to 159.50, 240.09 and 145.37

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Solution

The fourth proportional to 159.50, 240.09 and 145.37 is: 218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.50 : 240.09 = 145.37 : x
  2. Step 2: Convert to fraction form
    159.50/240.09 = 145.37/x
  3. Step 3: Cross multiply
    159.50x = 240.09 × 145.37
  4. Step 4: Simplify right side
    159.50x = 34,900.68
  5. Step 5: Solve for x
    x = 34,900.68/159.50
  6. Step 6: Final answer
    x = 218.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.