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Finding the Fourth Proportional to 51.99, 78.24 and 39.22

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Solution

The fourth proportional to 51.99, 78.24 and 39.22 is: 59.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.99 : 78.24 = 39.22 : x
  2. Step 2: Convert to fraction form
    51.99/78.24 = 39.22/x
  3. Step 3: Cross multiply
    51.99x = 78.24 × 39.22
  4. Step 4: Simplify right side
    51.99x = 3,068.38
  5. Step 5: Solve for x
    x = 3,068.38/51.99
  6. Step 6: Final answer
    x = 59.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.