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Finding the Fourth Proportional to 369.66, 554.12 and 186.78

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Solution

The fourth proportional to 369.66, 554.12 and 186.78 is: 279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.66 : 554.12 = 186.78 : x
  2. Step 2: Convert to fraction form
    369.66/554.12 = 186.78/x
  3. Step 3: Cross multiply
    369.66x = 554.12 × 186.78
  4. Step 4: Simplify right side
    369.66x = 103,498.53
  5. Step 5: Solve for x
    x = 103,498.53/369.66
  6. Step 6: Final answer
    x = 279.98

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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.