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Finding the Fourth Proportional to 46.53, 69.77 and 20.51

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Solution

The fourth proportional to 46.53, 69.77 and 20.51 is: 30.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.53 : 69.77 = 20.51 : x
  2. Step 2: Convert to fraction form
    46.53/69.77 = 20.51/x
  3. Step 3: Cross multiply
    46.53x = 69.77 × 20.51
  4. Step 4: Simplify right side
    46.53x = 1,430.79
  5. Step 5: Solve for x
    x = 1,430.79/46.53
  6. Step 6: Final answer
    x = 30.75

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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.