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Finding the Fourth Proportional to 67.56, 101.50 and 46.28

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Solution

The fourth proportional to 67.56, 101.50 and 46.28 is: 69.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.56 : 101.50 = 46.28 : x
  2. Step 2: Convert to fraction form
    67.56/101.50 = 46.28/x
  3. Step 3: Cross multiply
    67.56x = 101.50 × 46.28
  4. Step 4: Simplify right side
    67.56x = 4,697.42
  5. Step 5: Solve for x
    x = 4,697.42/67.56
  6. Step 6: Final answer
    x = 69.53

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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.