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Finding the Fourth Proportional to 74.90, 111.93 and 53.15

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Solution

The fourth proportional to 74.90, 111.93 and 53.15 is: 79.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.90 : 111.93 = 53.15 : x
  2. Step 2: Convert to fraction form
    74.90/111.93 = 53.15/x
  3. Step 3: Cross multiply
    74.90x = 111.93 × 53.15
  4. Step 4: Simplify right side
    74.90x = 5,949.08
  5. Step 5: Solve for x
    x = 5,949.08/74.90
  6. Step 6: Final answer
    x = 79.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.