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Finding the Fourth Proportional to 332.70, 499.05 and 89.22

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Solution

The fourth proportional to 332.70, 499.05 and 89.22 is: 133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.70 : 499.05 = 89.22 : x
  2. Step 2: Convert to fraction form
    332.70/499.05 = 89.22/x
  3. Step 3: Cross multiply
    332.70x = 499.05 × 89.22
  4. Step 4: Simplify right side
    332.70x = 44,525.24
  5. Step 5: Solve for x
    x = 44,525.24/332.70
  6. Step 6: Final answer
    x = 133.83

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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.