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Finding the Fourth Proportional to 419, 578.25 and 232.49

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Solution

The fourth proportional to 419, 578.25 and 232.49 is: 320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419 : 578.25 = 232.49 : x
  2. Step 2: Convert to fraction form
    419/578.25 = 232.49/x
  3. Step 3: Cross multiply
    419x = 578.25 × 232.49
  4. Step 4: Simplify right side
    419x = 134,437.34
  5. Step 5: Solve for x
    x = 134,437.34/419
  6. Step 6: Final answer
    x = 320.85

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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.