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Finding the Fourth Proportional to 73.08, 100.86 and 62.80

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Solution

The fourth proportional to 73.08, 100.86 and 62.80 is: 86.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.08 : 100.86 = 62.80 : x
  2. Step 2: Convert to fraction form
    73.08/100.86 = 62.80/x
  3. Step 3: Cross multiply
    73.08x = 100.86 × 62.80
  4. Step 4: Simplify right side
    73.08x = 6,334.01
  5. Step 5: Solve for x
    x = 6,334.01/73.08
  6. Step 6: Final answer
    x = 86.67

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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.