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Finding the Fourth Proportional to 189.84, 285.12 and 176.88

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Solution

The fourth proportional to 189.84, 285.12 and 176.88 is: 265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 285.12 = 176.88 : x
  2. Step 2: Convert to fraction form
    189.84/285.12 = 176.88/x
  3. Step 3: Cross multiply
    189.84x = 285.12 × 176.88
  4. Step 4: Simplify right side
    189.84x = 50,432.03
  5. Step 5: Solve for x
    x = 50,432.03/189.84
  6. Step 6: Final answer
    x = 265.66

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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.