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Finding the Fourth Proportional to 419.06, 578.30 and 232.55

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Solution

The fourth proportional to 419.06, 578.30 and 232.55 is: 320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.06 : 578.30 = 232.55 : x
  2. Step 2: Convert to fraction form
    419.06/578.30 = 232.55/x
  3. Step 3: Cross multiply
    419.06x = 578.30 × 232.55
  4. Step 4: Simplify right side
    419.06x = 134,480.48
  5. Step 5: Solve for x
    x = 134,480.48/419.06
  6. Step 6: Final answer
    x = 320.91

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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.