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Finding the Fourth Proportional to 147.83, 222.91 and 145.09

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Solution

The fourth proportional to 147.83, 222.91 and 145.09 is: 218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.83 : 222.91 = 145.09 : x
  2. Step 2: Convert to fraction form
    147.83/222.91 = 145.09/x
  3. Step 3: Cross multiply
    147.83x = 222.91 × 145.09
  4. Step 4: Simplify right side
    147.83x = 32,342.01
  5. Step 5: Solve for x
    x = 32,342.01/147.83
  6. Step 6: Final answer
    x = 218.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.