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Finding the Fourth Proportional to 419.96, 578.45 and 293.70

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Solution

The fourth proportional to 419.96, 578.45 and 293.70 is: 404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.96 : 578.45 = 293.70 : x
  2. Step 2: Convert to fraction form
    419.96/578.45 = 293.70/x
  3. Step 3: Cross multiply
    419.96x = 578.45 × 293.70
  4. Step 4: Simplify right side
    419.96x = 169,887.87
  5. Step 5: Solve for x
    x = 169,887.87/419.96
  6. Step 6: Final answer
    x = 404.54

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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.