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Finding the Fourth Proportional to 368.57, 552.76 and 137.45

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Solution

The fourth proportional to 368.57, 552.76 and 137.45 is: 206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.57 : 552.76 = 137.45 : x
  2. Step 2: Convert to fraction form
    368.57/552.76 = 137.45/x
  3. Step 3: Cross multiply
    368.57x = 552.76 × 137.45
  4. Step 4: Simplify right side
    368.57x = 75,977.90
  5. Step 5: Solve for x
    x = 75,977.90/368.57
  6. Step 6: Final answer
    x = 206.14

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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.