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Finding the Fourth Proportional to 73.05, 100.85 and 52.35

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Solution

The fourth proportional to 73.05, 100.85 and 52.35 is: 72.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.05 : 100.85 = 52.35 : x
  2. Step 2: Convert to fraction form
    73.05/100.85 = 52.35/x
  3. Step 3: Cross multiply
    73.05x = 100.85 × 52.35
  4. Step 4: Simplify right side
    73.05x = 5,279.24
  5. Step 5: Solve for x
    x = 5,279.24/73.05
  6. Step 6: Final answer
    x = 72.27

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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.