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Finding the Fourth Proportional to 48.00, 66.15 and 33.42

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Solution

The fourth proportional to 48.00, 66.15 and 33.42 is: 46.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.00 : 66.15 = 33.42 : x
  2. Step 2: Convert to fraction form
    48.00/66.15 = 33.42/x
  3. Step 3: Cross multiply
    48.00x = 66.15 × 33.42
  4. Step 4: Simplify right side
    48.00x = 2,210.98
  5. Step 5: Solve for x
    x = 2,210.98/48.00
  6. Step 6: Final answer
    x = 46.06

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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.