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Finding the Fourth Proportional to 48.09, 65.97 and 46.89

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Solution

The fourth proportional to 48.09, 65.97 and 46.89 is: 64.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.09 : 65.97 = 46.89 : x
  2. Step 2: Convert to fraction form
    48.09/65.97 = 46.89/x
  3. Step 3: Cross multiply
    48.09x = 65.97 × 46.89
  4. Step 4: Simplify right side
    48.09x = 3,093.33
  5. Step 5: Solve for x
    x = 3,093.33/48.09
  6. Step 6: Final answer
    x = 64.32

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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.