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Finding the Fourth Proportional to 53.40, 73.78 and 47.27

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Solution

The fourth proportional to 53.40, 73.78 and 47.27 is: 65.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.40 : 73.78 = 47.27 : x
  2. Step 2: Convert to fraction form
    53.40/73.78 = 47.27/x
  3. Step 3: Cross multiply
    53.40x = 73.78 × 47.27
  4. Step 4: Simplify right side
    53.40x = 3,487.58
  5. Step 5: Solve for x
    x = 3,487.58/53.40
  6. Step 6: Final answer
    x = 65.31

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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.