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Finding the Fourth Proportional to 269.18, 370.95 and 181.70

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Solution

The fourth proportional to 269.18, 370.95 and 181.70 is: 250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.18 : 370.95 = 181.70 : x
  2. Step 2: Convert to fraction form
    269.18/370.95 = 181.70/x
  3. Step 3: Cross multiply
    269.18x = 370.95 × 181.70
  4. Step 4: Simplify right side
    269.18x = 67,401.62
  5. Step 5: Solve for x
    x = 67,401.62/269.18
  6. Step 6: Final answer
    x = 250.40

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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.