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Finding the Fourth Proportional to 64.09, 88.23 and 49.33

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Solution

The fourth proportional to 64.09, 88.23 and 49.33 is: 67.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.09 : 88.23 = 49.33 : x
  2. Step 2: Convert to fraction form
    64.09/88.23 = 49.33/x
  3. Step 3: Cross multiply
    64.09x = 88.23 × 49.33
  4. Step 4: Simplify right side
    64.09x = 4,352.39
  5. Step 5: Solve for x
    x = 4,352.39/64.09
  6. Step 6: Final answer
    x = 67.91

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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.