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Finding the Fourth Proportional to 418.70, 578.56 and 314.22

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Solution

The fourth proportional to 418.70, 578.56 and 314.22 is: 434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.70 : 578.56 = 314.22 : x
  2. Step 2: Convert to fraction form
    418.70/578.56 = 314.22/x
  3. Step 3: Cross multiply
    418.70x = 578.56 × 314.22
  4. Step 4: Simplify right side
    418.70x = 181,795.12
  5. Step 5: Solve for x
    x = 181,795.12/418.70
  6. Step 6: Final answer
    x = 434.19

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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.