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Finding the Fourth Proportional to 73.42, 109.55 and 72.36

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Solution

The fourth proportional to 73.42, 109.55 and 72.36 is: 107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.42 : 109.55 = 72.36 : x
  2. Step 2: Convert to fraction form
    73.42/109.55 = 72.36/x
  3. Step 3: Cross multiply
    73.42x = 109.55 × 72.36
  4. Step 4: Simplify right side
    73.42x = 7,927.22
  5. Step 5: Solve for x
    x = 7,927.22/73.42
  6. Step 6: Final answer
    x = 107.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.