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Finding the Fourth Proportional to 74.60, 103.46 and 67.40

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Solution

The fourth proportional to 74.60, 103.46 and 67.40 is: 93.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.60 : 103.46 = 67.40 : x
  2. Step 2: Convert to fraction form
    74.60/103.46 = 67.40/x
  3. Step 3: Cross multiply
    74.60x = 103.46 × 67.40
  4. Step 4: Simplify right side
    74.60x = 6,973.20
  5. Step 5: Solve for x
    x = 6,973.20/74.60
  6. Step 6: Final answer
    x = 93.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.