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Finding the Fourth Proportional to 53.99, 81.10 and 46.79

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Solution

The fourth proportional to 53.99, 81.10 and 46.79 is: 70.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.99 : 81.10 = 46.79 : x
  2. Step 2: Convert to fraction form
    53.99/81.10 = 46.79/x
  3. Step 3: Cross multiply
    53.99x = 81.10 × 46.79
  4. Step 4: Simplify right side
    53.99x = 3,794.15
  5. Step 5: Solve for x
    x = 3,794.15/53.99
  6. Step 6: Final answer
    x = 70.28

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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.