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Finding the Fourth Proportional to 380.19, 569.93 and 149.23

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Solution

The fourth proportional to 380.19, 569.93 and 149.23 is: 223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.19 : 569.93 = 149.23 : x
  2. Step 2: Convert to fraction form
    380.19/569.93 = 149.23/x
  3. Step 3: Cross multiply
    380.19x = 569.93 × 149.23
  4. Step 4: Simplify right side
    380.19x = 85,050.65
  5. Step 5: Solve for x
    x = 85,050.65/380.19
  6. Step 6: Final answer
    x = 223.71

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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.