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Finding the Fourth Proportional to 48.85, 73.64 and 45.55

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Solution

The fourth proportional to 48.85, 73.64 and 45.55 is: 68.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.85 : 73.64 = 45.55 : x
  2. Step 2: Convert to fraction form
    48.85/73.64 = 45.55/x
  3. Step 3: Cross multiply
    48.85x = 73.64 × 45.55
  4. Step 4: Simplify right side
    48.85x = 3,354.03
  5. Step 5: Solve for x
    x = 3,354.03/48.85
  6. Step 6: Final answer
    x = 68.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.