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Finding the Fourth Proportional to 332.43, 498.26 and 156.82

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Solution

The fourth proportional to 332.43, 498.26 and 156.82 is: 235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.43 : 498.26 = 156.82 : x
  2. Step 2: Convert to fraction form
    332.43/498.26 = 156.82/x
  3. Step 3: Cross multiply
    332.43x = 498.26 × 156.82
  4. Step 4: Simplify right side
    332.43x = 78,137.13
  5. Step 5: Solve for x
    x = 78,137.13/332.43
  6. Step 6: Final answer
    x = 235.05

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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.