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Finding the Fourth Proportional to 178.28, 245.01 and 139.40

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Solution

The fourth proportional to 178.28, 245.01 and 139.40 is: 191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.28 : 245.01 = 139.40 : x
  2. Step 2: Convert to fraction form
    178.28/245.01 = 139.40/x
  3. Step 3: Cross multiply
    178.28x = 245.01 × 139.40
  4. Step 4: Simplify right side
    178.28x = 34,154.39
  5. Step 5: Solve for x
    x = 34,154.39/178.28
  6. Step 6: Final answer
    x = 191.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.