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Finding the Fourth Proportional to 35.29, 52.67 and 32.78

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Solution

The fourth proportional to 35.29, 52.67 and 32.78 is: 48.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.29 : 52.67 = 32.78 : x
  2. Step 2: Convert to fraction form
    35.29/52.67 = 32.78/x
  3. Step 3: Cross multiply
    35.29x = 52.67 × 32.78
  4. Step 4: Simplify right side
    35.29x = 1,726.52
  5. Step 5: Solve for x
    x = 1,726.52/35.29
  6. Step 6: Final answer
    x = 48.93

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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.