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Finding the Fourth Proportional to 51.20, 70.20 and 49.36

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Solution

The fourth proportional to 51.20, 70.20 and 49.36 is: 67.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.20 : 70.20 = 49.36 : x
  2. Step 2: Convert to fraction form
    51.20/70.20 = 49.36/x
  3. Step 3: Cross multiply
    51.20x = 70.20 × 49.36
  4. Step 4: Simplify right side
    51.20x = 3,465.07
  5. Step 5: Solve for x
    x = 3,465.07/51.20
  6. Step 6: Final answer
    x = 67.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.