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Finding the Fourth Proportional to 53.74, 74.14 and 30.42

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Solution

The fourth proportional to 53.74, 74.14 and 30.42 is: 41.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.74 : 74.14 = 30.42 : x
  2. Step 2: Convert to fraction form
    53.74/74.14 = 30.42/x
  3. Step 3: Cross multiply
    53.74x = 74.14 × 30.42
  4. Step 4: Simplify right side
    53.74x = 2,255.34
  5. Step 5: Solve for x
    x = 2,255.34/53.74
  6. Step 6: Final answer
    x = 41.97

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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.