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Finding the Fourth Proportional to 53.72, 74.14 and 34.31

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Solution

The fourth proportional to 53.72, 74.14 and 34.31 is: 47.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.72 : 74.14 = 34.31 : x
  2. Step 2: Convert to fraction form
    53.72/74.14 = 34.31/x
  3. Step 3: Cross multiply
    53.72x = 74.14 × 34.31
  4. Step 4: Simplify right side
    53.72x = 2,543.84
  5. Step 5: Solve for x
    x = 2,543.84/53.72
  6. Step 6: Final answer
    x = 47.35

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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.