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Finding the Fourth Proportional to 72.08, 98.92 and 64.64

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Solution

The fourth proportional to 72.08, 98.92 and 64.64 is: 88.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.08 : 98.92 = 64.64 : x
  2. Step 2: Convert to fraction form
    72.08/98.92 = 64.64/x
  3. Step 3: Cross multiply
    72.08x = 98.92 × 64.64
  4. Step 4: Simplify right side
    72.08x = 6,394.19
  5. Step 5: Solve for x
    x = 6,394.19/72.08
  6. Step 6: Final answer
    x = 88.71

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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.