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Finding the Fourth Proportional to 207.08, 309.52 and 148.92

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Solution

The fourth proportional to 207.08, 309.52 and 148.92 is: 222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.08 : 309.52 = 148.92 : x
  2. Step 2: Convert to fraction form
    207.08/309.52 = 148.92/x
  3. Step 3: Cross multiply
    207.08x = 309.52 × 148.92
  4. Step 4: Simplify right side
    207.08x = 46,093.72
  5. Step 5: Solve for x
    x = 46,093.72/207.08
  6. Step 6: Final answer
    x = 222.59

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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.