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Finding the Fourth Proportional to 334.56, 501.20 and 189.84

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Solution

The fourth proportional to 334.56, 501.20 and 189.84 is: 284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.56 : 501.20 = 189.84 : x
  2. Step 2: Convert to fraction form
    334.56/501.20 = 189.84/x
  3. Step 3: Cross multiply
    334.56x = 501.20 × 189.84
  4. Step 4: Simplify right side
    334.56x = 95,147.81
  5. Step 5: Solve for x
    x = 95,147.81/334.56
  6. Step 6: Final answer
    x = 284.40

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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.