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Finding the Fourth Proportional to 332.02, 498.30 and 209.98

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Solution

The fourth proportional to 332.02, 498.30 and 209.98 is: 315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.02 : 498.30 = 209.98 : x
  2. Step 2: Convert to fraction form
    332.02/498.30 = 209.98/x
  3. Step 3: Cross multiply
    332.02x = 498.30 × 209.98
  4. Step 4: Simplify right side
    332.02x = 104,633.03
  5. Step 5: Solve for x
    x = 104,633.03/332.02
  6. Step 6: Final answer
    x = 315.14

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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.