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Finding the Fourth Proportional to 74, 110.88 and 73.16

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Solution

The fourth proportional to 74, 110.88 and 73.16 is: 109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74 : 110.88 = 73.16 : x
  2. Step 2: Convert to fraction form
    74/110.88 = 73.16/x
  3. Step 3: Cross multiply
    74x = 110.88 × 73.16
  4. Step 4: Simplify right side
    74x = 8,111.98
  5. Step 5: Solve for x
    x = 8,111.98/74
  6. Step 6: Final answer
    x = 109.62

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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.