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Finding the Fourth Proportional to 52.47, 72.42 and 33.06

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Solution

The fourth proportional to 52.47, 72.42 and 33.06 is: 45.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.47 : 72.42 = 33.06 : x
  2. Step 2: Convert to fraction form
    52.47/72.42 = 33.06/x
  3. Step 3: Cross multiply
    52.47x = 72.42 × 33.06
  4. Step 4: Simplify right side
    52.47x = 2,394.21
  5. Step 5: Solve for x
    x = 2,394.21/52.47
  6. Step 6: Final answer
    x = 45.63

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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.