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Finding the Fourth Proportional to 189.07, 284.04 and 181.29

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Solution

The fourth proportional to 189.07, 284.04 and 181.29 is: 272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.07 : 284.04 = 181.29 : x
  2. Step 2: Convert to fraction form
    189.07/284.04 = 181.29/x
  3. Step 3: Cross multiply
    189.07x = 284.04 × 181.29
  4. Step 4: Simplify right side
    189.07x = 51,492.55
  5. Step 5: Solve for x
    x = 51,492.55/189.07
  6. Step 6: Final answer
    x = 272.34

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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.