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Finding the Fourth Proportional to 61.15, 91.74 and 30.72

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Solution

The fourth proportional to 61.15, 91.74 and 30.72 is: 46.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.15 : 91.74 = 30.72 : x
  2. Step 2: Convert to fraction form
    61.15/91.74 = 30.72/x
  3. Step 3: Cross multiply
    61.15x = 91.74 × 30.72
  4. Step 4: Simplify right side
    61.15x = 2,818.25
  5. Step 5: Solve for x
    x = 2,818.25/61.15
  6. Step 6: Final answer
    x = 46.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.