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Finding the Fourth Proportional to 74.58, 110.46 and 73.77

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Solution

The fourth proportional to 74.58, 110.46 and 73.77 is: 109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.58 : 110.46 = 73.77 : x
  2. Step 2: Convert to fraction form
    74.58/110.46 = 73.77/x
  3. Step 3: Cross multiply
    74.58x = 110.46 × 73.77
  4. Step 4: Simplify right side
    74.58x = 8,148.63
  5. Step 5: Solve for x
    x = 8,148.63/74.58
  6. Step 6: Final answer
    x = 109.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.