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Finding the Fourth Proportional to 51.22, 70.54 and 44.66

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Solution

The fourth proportional to 51.22, 70.54 and 44.66 is: 61.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.22 : 70.54 = 44.66 : x
  2. Step 2: Convert to fraction form
    51.22/70.54 = 44.66/x
  3. Step 3: Cross multiply
    51.22x = 70.54 × 44.66
  4. Step 4: Simplify right side
    51.22x = 3,149.74
  5. Step 5: Solve for x
    x = 3,149.74/51.22
  6. Step 6: Final answer
    x = 61.50

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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.