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Finding the Fourth Proportional to 419.34, 578.72 and 244.69

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Solution

The fourth proportional to 419.34, 578.72 and 244.69 is: 337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.34 : 578.72 = 244.69 : x
  2. Step 2: Convert to fraction form
    419.34/578.72 = 244.69/x
  3. Step 3: Cross multiply
    419.34x = 578.72 × 244.69
  4. Step 4: Simplify right side
    419.34x = 141,605.47
  5. Step 5: Solve for x
    x = 141,605.47/419.34
  6. Step 6: Final answer
    x = 337.68

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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.