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Finding the Fourth Proportional to 51.30, 70.75 and 32.85

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Solution

The fourth proportional to 51.30, 70.75 and 32.85 is: 45.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.30 : 70.75 = 32.85 : x
  2. Step 2: Convert to fraction form
    51.30/70.75 = 32.85/x
  3. Step 3: Cross multiply
    51.30x = 70.75 × 32.85
  4. Step 4: Simplify right side
    51.30x = 2,324.14
  5. Step 5: Solve for x
    x = 2,324.14/51.30
  6. Step 6: Final answer
    x = 45.30

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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.