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Finding the Fourth Proportional to 51.65, 71.30 and 35.36

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Solution

The fourth proportional to 51.65, 71.30 and 35.36 is: 48.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.65 : 71.30 = 35.36 : x
  2. Step 2: Convert to fraction form
    51.65/71.30 = 35.36/x
  3. Step 3: Cross multiply
    51.65x = 71.30 × 35.36
  4. Step 4: Simplify right side
    51.65x = 2,520.63
  5. Step 5: Solve for x
    x = 2,520.63/51.65
  6. Step 6: Final answer
    x = 48.81

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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.