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Finding the Fourth Proportional to 147.99, 220.51 and 131.83

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Solution

The fourth proportional to 147.99, 220.51 and 131.83 is: 196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.99 : 220.51 = 131.83 : x
  2. Step 2: Convert to fraction form
    147.99/220.51 = 131.83/x
  3. Step 3: Cross multiply
    147.99x = 220.51 × 131.83
  4. Step 4: Simplify right side
    147.99x = 29,068.40
  5. Step 5: Solve for x
    x = 29,068.40/147.99
  6. Step 6: Final answer
    x = 196.42

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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.