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Finding the Fourth Proportional to 189.36, 282.24 and 177.12

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Solution

The fourth proportional to 189.36, 282.24 and 177.12 is: 264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.36 : 282.24 = 177.12 : x
  2. Step 2: Convert to fraction form
    189.36/282.24 = 177.12/x
  3. Step 3: Cross multiply
    189.36x = 282.24 × 177.12
  4. Step 4: Simplify right side
    189.36x = 49,990.35
  5. Step 5: Solve for x
    x = 49,990.35/189.36
  6. Step 6: Final answer
    x = 264.00

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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.