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Finding the Fourth Proportional to 53.43, 73.77 and 34.05

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Solution

The fourth proportional to 53.43, 73.77 and 34.05 is: 47.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.43 : 73.77 = 34.05 : x
  2. Step 2: Convert to fraction form
    53.43/73.77 = 34.05/x
  3. Step 3: Cross multiply
    53.43x = 73.77 × 34.05
  4. Step 4: Simplify right side
    53.43x = 2,511.87
  5. Step 5: Solve for x
    x = 2,511.87/53.43
  6. Step 6: Final answer
    x = 47.01

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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.