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Finding the Fourth Proportional to 73.53, 101.47 and 40.78

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Solution

The fourth proportional to 73.53, 101.47 and 40.78 is: 56.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.53 : 101.47 = 40.78 : x
  2. Step 2: Convert to fraction form
    73.53/101.47 = 40.78/x
  3. Step 3: Cross multiply
    73.53x = 101.47 × 40.78
  4. Step 4: Simplify right side
    73.53x = 4,137.24
  5. Step 5: Solve for x
    x = 4,137.24/73.53
  6. Step 6: Final answer
    x = 56.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.