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Finding the Fourth Proportional to 189.64, 285.63 and 177.49

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Solution

The fourth proportional to 189.64, 285.63 and 177.49 is: 267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.64 : 285.63 = 177.49 : x
  2. Step 2: Convert to fraction form
    189.64/285.63 = 177.49/x
  3. Step 3: Cross multiply
    189.64x = 285.63 × 177.49
  4. Step 4: Simplify right side
    189.64x = 50,696.16
  5. Step 5: Solve for x
    x = 50,696.16/189.64
  6. Step 6: Final answer
    x = 267.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.