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Finding the Fourth Proportional to 369.46, 553.02 and 206.65

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Solution

The fourth proportional to 369.46, 553.02 and 206.65 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.46 : 553.02 = 206.65 : x
  2. Step 2: Convert to fraction form
    369.46/553.02 = 206.65/x
  3. Step 3: Cross multiply
    369.46x = 553.02 × 206.65
  4. Step 4: Simplify right side
    369.46x = 114,281.58
  5. Step 5: Solve for x
    x = 114,281.58/369.46
  6. Step 6: Final answer
    x = 309.32

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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.