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Finding the Fourth Proportional to 51.15, 70.93 and 49.66

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Solution

The fourth proportional to 51.15, 70.93 and 49.66 is: 68.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.15 : 70.93 = 49.66 : x
  2. Step 2: Convert to fraction form
    51.15/70.93 = 49.66/x
  3. Step 3: Cross multiply
    51.15x = 70.93 × 49.66
  4. Step 4: Simplify right side
    51.15x = 3,522.38
  5. Step 5: Solve for x
    x = 3,522.38/51.15
  6. Step 6: Final answer
    x = 68.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.