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Finding the Fourth Proportional to 384.40, 576.56 and 141.12

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Solution

The fourth proportional to 384.40, 576.56 and 141.12 is: 211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.40 : 576.56 = 141.12 : x
  2. Step 2: Convert to fraction form
    384.40/576.56 = 141.12/x
  3. Step 3: Cross multiply
    384.40x = 576.56 × 141.12
  4. Step 4: Simplify right side
    384.40x = 81,364.15
  5. Step 5: Solve for x
    x = 81,364.15/384.40
  6. Step 6: Final answer
    x = 211.67

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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.