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Finding the Fourth Proportional to 48.63, 66.75 and 42.15

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Solution

The fourth proportional to 48.63, 66.75 and 42.15 is: 57.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.63 : 66.75 = 42.15 : x
  2. Step 2: Convert to fraction form
    48.63/66.75 = 42.15/x
  3. Step 3: Cross multiply
    48.63x = 66.75 × 42.15
  4. Step 4: Simplify right side
    48.63x = 2,813.51
  5. Step 5: Solve for x
    x = 2,813.51/48.63
  6. Step 6: Final answer
    x = 57.86

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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.