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Finding the Fourth Proportional to 418.34, 627.44 and 230.77

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Solution

The fourth proportional to 418.34, 627.44 and 230.77 is: 346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.34 : 627.44 = 230.77 : x
  2. Step 2: Convert to fraction form
    418.34/627.44 = 230.77/x
  3. Step 3: Cross multiply
    418.34x = 627.44 × 230.77
  4. Step 4: Simplify right side
    418.34x = 144,794.33
  5. Step 5: Solve for x
    x = 144,794.33/418.34
  6. Step 6: Final answer
    x = 346.12

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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.