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Finding the Fourth Proportional to 418.81, 578.03 and 244.12

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Solution

The fourth proportional to 418.81, 578.03 and 244.12 is: 336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.81 : 578.03 = 244.12 : x
  2. Step 2: Convert to fraction form
    418.81/578.03 = 244.12/x
  3. Step 3: Cross multiply
    418.81x = 578.03 × 244.12
  4. Step 4: Simplify right side
    418.81x = 141,109.82
  5. Step 5: Solve for x
    x = 141,109.82/418.81
  6. Step 6: Final answer
    x = 336.93

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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.