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Finding the Fourth Proportional to 73.30, 110.08 and 59.70

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Solution

The fourth proportional to 73.30, 110.08 and 59.70 is: 89.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.30 : 110.08 = 59.70 : x
  2. Step 2: Convert to fraction form
    73.30/110.08 = 59.70/x
  3. Step 3: Cross multiply
    73.30x = 110.08 × 59.70
  4. Step 4: Simplify right side
    73.30x = 6,571.78
  5. Step 5: Solve for x
    x = 6,571.78/73.30
  6. Step 6: Final answer
    x = 89.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.