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Finding the Fourth Proportional to 370.76, 556.22 and 178.28

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Solution

The fourth proportional to 370.76, 556.22 and 178.28 is: 267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.76 : 556.22 = 178.28 : x
  2. Step 2: Convert to fraction form
    370.76/556.22 = 178.28/x
  3. Step 3: Cross multiply
    370.76x = 556.22 × 178.28
  4. Step 4: Simplify right side
    370.76x = 99,162.90
  5. Step 5: Solve for x
    x = 99,162.90/370.76
  6. Step 6: Final answer
    x = 267.46

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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.