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Finding the Fourth Proportional to 620.32, 929.84 and 209.32

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Solution

The fourth proportional to 620.32, 929.84 and 209.32 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.32 : 929.84 = 209.32 : x
  2. Step 2: Convert to fraction form
    620.32/929.84 = 209.32/x
  3. Step 3: Cross multiply
    620.32x = 929.84 × 209.32
  4. Step 4: Simplify right side
    620.32x = 194,634.11
  5. Step 5: Solve for x
    x = 194,634.11/620.32
  6. Step 6: Final answer
    x = 313.76

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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.