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Finding the Fourth Proportional to 53.69, 74.08 and 34.01

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Solution

The fourth proportional to 53.69, 74.08 and 34.01 is: 46.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.69 : 74.08 = 34.01 : x
  2. Step 2: Convert to fraction form
    53.69/74.08 = 34.01/x
  3. Step 3: Cross multiply
    53.69x = 74.08 × 34.01
  4. Step 4: Simplify right side
    53.69x = 2,519.29
  5. Step 5: Solve for x
    x = 2,519.29/53.69
  6. Step 6: Final answer
    x = 46.92

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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.