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Finding the Fourth Proportional to 369.31, 554.01 and 204.65

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Solution

The fourth proportional to 369.31, 554.01 and 204.65 is: 307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.31 : 554.01 = 204.65 : x
  2. Step 2: Convert to fraction form
    369.31/554.01 = 204.65/x
  3. Step 3: Cross multiply
    369.31x = 554.01 × 204.65
  4. Step 4: Simplify right side
    369.31x = 113,379.97
  5. Step 5: Solve for x
    x = 113,379.97/369.31
  6. Step 6: Final answer
    x = 307.01

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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.