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Finding the Fourth Proportional to 151.21, 208.64 and 84.83

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Solution

The fourth proportional to 151.21, 208.64 and 84.83 is: 117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.21 : 208.64 = 84.83 : x
  2. Step 2: Convert to fraction form
    151.21/208.64 = 84.83/x
  3. Step 3: Cross multiply
    151.21x = 208.64 × 84.83
  4. Step 4: Simplify right side
    151.21x = 17,698.93
  5. Step 5: Solve for x
    x = 17,698.93/151.21
  6. Step 6: Final answer
    x = 117.05

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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.