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Finding the Fourth Proportional to 419.50, 578.10 and 320.68

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Solution

The fourth proportional to 419.50, 578.10 and 320.68 is: 441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.50 : 578.10 = 320.68 : x
  2. Step 2: Convert to fraction form
    419.50/578.10 = 320.68/x
  3. Step 3: Cross multiply
    419.50x = 578.10 × 320.68
  4. Step 4: Simplify right side
    419.50x = 185,385.11
  5. Step 5: Solve for x
    x = 185,385.11/419.50
  6. Step 6: Final answer
    x = 441.92

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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.