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Finding the Fourth Proportional to 35.33, 52.68 and 31.46

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Solution

The fourth proportional to 35.33, 52.68 and 31.46 is: 46.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.33 : 52.68 = 31.46 : x
  2. Step 2: Convert to fraction form
    35.33/52.68 = 31.46/x
  3. Step 3: Cross multiply
    35.33x = 52.68 × 31.46
  4. Step 4: Simplify right side
    35.33x = 1,657.44
  5. Step 5: Solve for x
    x = 1,657.44/35.33
  6. Step 6: Final answer
    x = 46.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.