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Finding the Fourth Proportional to 380.53, 569.40 and 226.51

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Solution

The fourth proportional to 380.53, 569.40 and 226.51 is: 338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.53 : 569.40 = 226.51 : x
  2. Step 2: Convert to fraction form
    380.53/569.40 = 226.51/x
  3. Step 3: Cross multiply
    380.53x = 569.40 × 226.51
  4. Step 4: Simplify right side
    380.53x = 128,974.79
  5. Step 5: Solve for x
    x = 128,974.79/380.53
  6. Step 6: Final answer
    x = 338.93

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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.