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Finding the Fourth Proportional to 141.60, 212.64 and 107.28

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Solution

The fourth proportional to 141.60, 212.64 and 107.28 is: 161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.60 : 212.64 = 107.28 : x
  2. Step 2: Convert to fraction form
    141.60/212.64 = 107.28/x
  3. Step 3: Cross multiply
    141.60x = 212.64 × 107.28
  4. Step 4: Simplify right side
    141.60x = 22,812.02
  5. Step 5: Solve for x
    x = 22,812.02/141.60
  6. Step 6: Final answer
    x = 161.10

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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.