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Finding the Fourth Proportional to 269.02, 370.78 and 209.90

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Solution

The fourth proportional to 269.02, 370.78 and 209.90 is: 289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.02 : 370.78 = 209.90 : x
  2. Step 2: Convert to fraction form
    269.02/370.78 = 209.90/x
  3. Step 3: Cross multiply
    269.02x = 370.78 × 209.90
  4. Step 4: Simplify right side
    269.02x = 77,826.72
  5. Step 5: Solve for x
    x = 77,826.72/269.02
  6. Step 6: Final answer
    x = 289.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.