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Finding the Fourth Proportional to 420.04, 578.33 and 381.11

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Solution

The fourth proportional to 420.04, 578.33 and 381.11 is: 524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.04 : 578.33 = 381.11 : x
  2. Step 2: Convert to fraction form
    420.04/578.33 = 381.11/x
  3. Step 3: Cross multiply
    420.04x = 578.33 × 381.11
  4. Step 4: Simplify right side
    420.04x = 220,407.06
  5. Step 5: Solve for x
    x = 220,407.06/420.04
  6. Step 6: Final answer
    x = 524.73

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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.