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Finding the Fourth Proportional to 620.84, 931.20 and 209.92

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Solution

The fourth proportional to 620.84, 931.20 and 209.92 is: 314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.84 : 931.20 = 209.92 : x
  2. Step 2: Convert to fraction form
    620.84/931.20 = 209.92/x
  3. Step 3: Cross multiply
    620.84x = 931.20 × 209.92
  4. Step 4: Simplify right side
    620.84x = 195,477.50
  5. Step 5: Solve for x
    x = 195,477.50/620.84
  6. Step 6: Final answer
    x = 314.86

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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.