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Finding the Fourth Proportional to 332.98, 499.63 and 140.50

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Solution

The fourth proportional to 332.98, 499.63 and 140.50 is: 210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.98 : 499.63 = 140.50 : x
  2. Step 2: Convert to fraction form
    332.98/499.63 = 140.50/x
  3. Step 3: Cross multiply
    332.98x = 499.63 × 140.50
  4. Step 4: Simplify right side
    332.98x = 70,198.02
  5. Step 5: Solve for x
    x = 70,198.02/332.98
  6. Step 6: Final answer
    x = 210.82

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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.