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Finding the Fourth Proportional to 189.87, 283.47 and 178.28

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Solution

The fourth proportional to 189.87, 283.47 and 178.28 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.87 : 283.47 = 178.28 : x
  2. Step 2: Convert to fraction form
    189.87/283.47 = 178.28/x
  3. Step 3: Cross multiply
    189.87x = 283.47 × 178.28
  4. Step 4: Simplify right side
    189.87x = 50,537.03
  5. Step 5: Solve for x
    x = 50,537.03/189.87
  6. Step 6: Final answer
    x = 266.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.