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Finding the Fourth Proportional to 332.22, 498.32 and 101.10

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Solution

The fourth proportional to 332.22, 498.32 and 101.10 is: 151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.22 : 498.32 = 101.10 : x
  2. Step 2: Convert to fraction form
    332.22/498.32 = 101.10/x
  3. Step 3: Cross multiply
    332.22x = 498.32 × 101.10
  4. Step 4: Simplify right side
    332.22x = 50,379.65
  5. Step 5: Solve for x
    x = 50,379.65/332.22
  6. Step 6: Final answer
    x = 151.65

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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.