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Finding the Fourth Proportional to 141.70, 212.95 and 96.32

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Solution

The fourth proportional to 141.70, 212.95 and 96.32 is: 144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.70 : 212.95 = 96.32 : x
  2. Step 2: Convert to fraction form
    141.70/212.95 = 96.32/x
  3. Step 3: Cross multiply
    141.70x = 212.95 × 96.32
  4. Step 4: Simplify right side
    141.70x = 20,511.34
  5. Step 5: Solve for x
    x = 20,511.34/141.70
  6. Step 6: Final answer
    x = 144.75

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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.