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Finding the Fourth Proportional to 340.05, 469.20 and 200.19

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Solution

The fourth proportional to 340.05, 469.20 and 200.19 is: 276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.05 : 469.20 = 200.19 : x
  2. Step 2: Convert to fraction form
    340.05/469.20 = 200.19/x
  3. Step 3: Cross multiply
    340.05x = 469.20 × 200.19
  4. Step 4: Simplify right side
    340.05x = 93,929.15
  5. Step 5: Solve for x
    x = 93,929.15/340.05
  6. Step 6: Final answer
    x = 276.22

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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.