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Finding the Fourth Proportional to 54.07, 74.61 and 29.50

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Solution

The fourth proportional to 54.07, 74.61 and 29.50 is: 40.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.07 : 74.61 = 29.50 : x
  2. Step 2: Convert to fraction form
    54.07/74.61 = 29.50/x
  3. Step 3: Cross multiply
    54.07x = 74.61 × 29.50
  4. Step 4: Simplify right side
    54.07x = 2,201.41
  5. Step 5: Solve for x
    x = 2,201.41/54.07
  6. Step 6: Final answer
    x = 40.72

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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.