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Finding the Fourth Proportional to 73.23, 100.64 and 58.65

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Solution

The fourth proportional to 73.23, 100.64 and 58.65 is: 80.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.23 : 100.64 = 58.65 : x
  2. Step 2: Convert to fraction form
    73.23/100.64 = 58.65/x
  3. Step 3: Cross multiply
    73.23x = 100.64 × 58.65
  4. Step 4: Simplify right side
    73.23x = 5,902.24
  5. Step 5: Solve for x
    x = 5,902.24/73.23
  6. Step 6: Final answer
    x = 80.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.