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Finding the Fourth Proportional to 49.35, 74.29 and 45.09

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Solution

The fourth proportional to 49.35, 74.29 and 45.09 is: 67.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.35 : 74.29 = 45.09 : x
  2. Step 2: Convert to fraction form
    49.35/74.29 = 45.09/x
  3. Step 3: Cross multiply
    49.35x = 74.29 × 45.09
  4. Step 4: Simplify right side
    49.35x = 3,349.74
  5. Step 5: Solve for x
    x = 3,349.74/49.35
  6. Step 6: Final answer
    x = 67.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.