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Finding the Fourth Proportional to 240, 360.02 and 85.89

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Solution

The fourth proportional to 240, 360.02 and 85.89 is: 128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    240 : 360.02 = 85.89 : x
  2. Step 2: Convert to fraction form
    240/360.02 = 85.89/x
  3. Step 3: Cross multiply
    240x = 360.02 × 85.89
  4. Step 4: Simplify right side
    240x = 30,921.69
  5. Step 5: Solve for x
    x = 30,921.69/240
  6. Step 6: Final answer
    x = 128.84

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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.