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Finding the Fourth Proportional to 368.70, 553.32 and 186.23

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Solution

The fourth proportional to 368.70, 553.32 and 186.23 is: 279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.70 : 553.32 = 186.23 : x
  2. Step 2: Convert to fraction form
    368.70/553.32 = 186.23/x
  3. Step 3: Cross multiply
    368.70x = 553.32 × 186.23
  4. Step 4: Simplify right side
    368.70x = 103,042.02
  5. Step 5: Solve for x
    x = 103,042.02/368.70
  6. Step 6: Final answer
    x = 279.47

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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.