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Finding the Fourth Proportional to 264.06, 394.02 and 209.70

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Solution

The fourth proportional to 264.06, 394.02 and 209.70 is: 312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.06 : 394.02 = 209.70 : x
  2. Step 2: Convert to fraction form
    264.06/394.02 = 209.70/x
  3. Step 3: Cross multiply
    264.06x = 394.02 × 209.70
  4. Step 4: Simplify right side
    264.06x = 82,625.99
  5. Step 5: Solve for x
    x = 82,625.99/264.06
  6. Step 6: Final answer
    x = 312.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.