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Finding the Fourth Proportional to 368.77, 553.04 and 149.39

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Solution

The fourth proportional to 368.77, 553.04 and 149.39 is: 224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.77 : 553.04 = 149.39 : x
  2. Step 2: Convert to fraction form
    368.77/553.04 = 149.39/x
  3. Step 3: Cross multiply
    368.77x = 553.04 × 149.39
  4. Step 4: Simplify right side
    368.77x = 82,615.13
  5. Step 5: Solve for x
    x = 82,615.13/368.77
  6. Step 6: Final answer
    x = 224.03

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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.