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Finding the Fourth Proportional to 51.19, 76.50 and 41.00

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Solution

The fourth proportional to 51.19, 76.50 and 41.00 is: 61.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.19 : 76.50 = 41.00 : x
  2. Step 2: Convert to fraction form
    51.19/76.50 = 41.00/x
  3. Step 3: Cross multiply
    51.19x = 76.50 × 41.00
  4. Step 4: Simplify right side
    51.19x = 3,136.12
  5. Step 5: Solve for x
    x = 3,136.12/51.19
  6. Step 6: Final answer
    x = 61.27

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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.