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Finding the Fourth Proportional to 420.05, 578.12 and 344.72

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Solution

The fourth proportional to 420.05, 578.12 and 344.72 is: 474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.05 : 578.12 = 344.72 : x
  2. Step 2: Convert to fraction form
    420.05/578.12 = 344.72/x
  3. Step 3: Cross multiply
    420.05x = 578.12 × 344.72
  4. Step 4: Simplify right side
    420.05x = 199,289.53
  5. Step 5: Solve for x
    x = 199,289.53/420.05
  6. Step 6: Final answer
    x = 474.44

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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.