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Finding the Fourth Proportional to 368.68, 552.14 and 186.20

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Solution

The fourth proportional to 368.68, 552.14 and 186.20 is: 278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.68 : 552.14 = 186.20 : x
  2. Step 2: Convert to fraction form
    368.68/552.14 = 186.20/x
  3. Step 3: Cross multiply
    368.68x = 552.14 × 186.20
  4. Step 4: Simplify right side
    368.68x = 102,808.47
  5. Step 5: Solve for x
    x = 102,808.47/368.68
  6. Step 6: Final answer
    x = 278.86

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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.