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Finding the Fourth Proportional to 369.65, 554.38 and 138.53

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Solution

The fourth proportional to 369.65, 554.38 and 138.53 is: 207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.65 : 554.38 = 138.53 : x
  2. Step 2: Convert to fraction form
    369.65/554.38 = 138.53/x
  3. Step 3: Cross multiply
    369.65x = 554.38 × 138.53
  4. Step 4: Simplify right side
    369.65x = 76,799.30
  5. Step 5: Solve for x
    x = 76,799.30/369.65
  6. Step 6: Final answer
    x = 207.76

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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.