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Finding the Fourth Proportional to 208.04, 310.55 and 200.34

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Solution

The fourth proportional to 208.04, 310.55 and 200.34 is: 299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.04 : 310.55 = 200.34 : x
  2. Step 2: Convert to fraction form
    208.04/310.55 = 200.34/x
  3. Step 3: Cross multiply
    208.04x = 310.55 × 200.34
  4. Step 4: Simplify right side
    208.04x = 62,214.59
  5. Step 5: Solve for x
    x = 62,214.59/208.04
  6. Step 6: Final answer
    x = 299.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.