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Finding the Fourth Proportional to 99.56, 149.38 and 51.50

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Solution

The fourth proportional to 99.56, 149.38 and 51.50 is: 77.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.56 : 149.38 = 51.50 : x
  2. Step 2: Convert to fraction form
    99.56/149.38 = 51.50/x
  3. Step 3: Cross multiply
    99.56x = 149.38 × 51.50
  4. Step 4: Simplify right side
    99.56x = 7,693.31
  5. Step 5: Solve for x
    x = 7,693.31/99.56
  6. Step 6: Final answer
    x = 77.27

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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.