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Finding the Fourth Proportional to 73.06, 100.93 and 58.40

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Solution

The fourth proportional to 73.06, 100.93 and 58.40 is: 80.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.06 : 100.93 = 58.40 : x
  2. Step 2: Convert to fraction form
    73.06/100.93 = 58.40/x
  3. Step 3: Cross multiply
    73.06x = 100.93 × 58.40
  4. Step 4: Simplify right side
    73.06x = 5,894.33
  5. Step 5: Solve for x
    x = 5,894.33/73.06
  6. Step 6: Final answer
    x = 80.68

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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.