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Finding the Fourth Proportional to 48.90, 66.98 and 48.77

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Solution

The fourth proportional to 48.90, 66.98 and 48.77 is: 66.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.90 : 66.98 = 48.77 : x
  2. Step 2: Convert to fraction form
    48.90/66.98 = 48.77/x
  3. Step 3: Cross multiply
    48.90x = 66.98 × 48.77
  4. Step 4: Simplify right side
    48.90x = 3,266.31
  5. Step 5: Solve for x
    x = 3,266.31/48.90
  6. Step 6: Final answer
    x = 66.80

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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.