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Finding the Fourth Proportional to 151.57, 208.91 and 107.32

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Solution

The fourth proportional to 151.57, 208.91 and 107.32 is: 147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.57 : 208.91 = 107.32 : x
  2. Step 2: Convert to fraction form
    151.57/208.91 = 107.32/x
  3. Step 3: Cross multiply
    151.57x = 208.91 × 107.32
  4. Step 4: Simplify right side
    151.57x = 22,420.22
  5. Step 5: Solve for x
    x = 22,420.22/151.57
  6. Step 6: Final answer
    x = 147.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.