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Finding the Fourth Proportional to 51.19, 70.67 and 31.82

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Solution

The fourth proportional to 51.19, 70.67 and 31.82 is: 43.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.19 : 70.67 = 31.82 : x
  2. Step 2: Convert to fraction form
    51.19/70.67 = 31.82/x
  3. Step 3: Cross multiply
    51.19x = 70.67 × 31.82
  4. Step 4: Simplify right side
    51.19x = 2,248.45
  5. Step 5: Solve for x
    x = 2,248.45/51.19
  6. Step 6: Final answer
    x = 43.93

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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.