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Finding the Fourth Proportional to 240.05, 360.21 and 157.88

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Solution

The fourth proportional to 240.05, 360.21 and 157.88 is: 236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.05 : 360.21 = 157.88 : x
  2. Step 2: Convert to fraction form
    240.05/360.21 = 157.88/x
  3. Step 3: Cross multiply
    240.05x = 360.21 × 157.88
  4. Step 4: Simplify right side
    240.05x = 56,870.01
  5. Step 5: Solve for x
    x = 56,870.01/240.05
  6. Step 6: Final answer
    x = 236.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.