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Finding the Fourth Proportional to 73.57, 101.55 and 49.00

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Solution

The fourth proportional to 73.57, 101.55 and 49.00 is: 67.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.57 : 101.55 = 49.00 : x
  2. Step 2: Convert to fraction form
    73.57/101.55 = 49.00/x
  3. Step 3: Cross multiply
    73.57x = 101.55 × 49.00
  4. Step 4: Simplify right side
    73.57x = 4,976.20
  5. Step 5: Solve for x
    x = 4,976.20/73.57
  6. Step 6: Final answer
    x = 67.64

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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.