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Finding the Fourth Proportional to 74.89, 103.35 and 49.02

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Solution

The fourth proportional to 74.89, 103.35 and 49.02 is: 67.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.89 : 103.35 = 49.02 : x
  2. Step 2: Convert to fraction form
    74.89/103.35 = 49.02/x
  3. Step 3: Cross multiply
    74.89x = 103.35 × 49.02
  4. Step 4: Simplify right side
    74.89x = 5,066.22
  5. Step 5: Solve for x
    x = 5,066.22/74.89
  6. Step 6: Final answer
    x = 67.65

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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.