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Finding the Fourth Proportional to 369.80, 554.59 and 138.81

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Solution

The fourth proportional to 369.80, 554.59 and 138.81 is: 208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.80 : 554.59 = 138.81 : x
  2. Step 2: Convert to fraction form
    369.80/554.59 = 138.81/x
  3. Step 3: Cross multiply
    369.80x = 554.59 × 138.81
  4. Step 4: Simplify right side
    369.80x = 76,981.94
  5. Step 5: Solve for x
    x = 76,981.94/369.80
  6. Step 6: Final answer
    x = 208.17

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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.