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Finding the Fourth Proportional to 1,465.26, 2,197.81 and 369.62

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Solution

The fourth proportional to 1,465.26, 2,197.81 and 369.62 is: 554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.26 : 2,197.81 = 369.62 : x
  2. Step 2: Convert to fraction form
    1,465.26/2,197.81 = 369.62/x
  3. Step 3: Cross multiply
    1,465.26x = 2,197.81 × 369.62
  4. Step 4: Simplify right side
    1,465.26x = 812,354.53
  5. Step 5: Solve for x
    x = 812,354.53/1,465.26
  6. Step 6: Final answer
    x = 554.41

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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.