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Finding the Fourth Proportional to 368.91, 553.34 and 206.55

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Solution

The fourth proportional to 368.91, 553.34 and 206.55 is: 309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.91 : 553.34 = 206.55 : x
  2. Step 2: Convert to fraction form
    368.91/553.34 = 206.55/x
  3. Step 3: Cross multiply
    368.91x = 553.34 × 206.55
  4. Step 4: Simplify right side
    368.91x = 114,291.34
  5. Step 5: Solve for x
    x = 114,291.34/368.91
  6. Step 6: Final answer
    x = 309.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.