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Finding the Fourth Proportional to 151.68, 208.20 and 134.94

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Solution

The fourth proportional to 151.68, 208.20 and 134.94 is: 185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 208.20 = 134.94 : x
  2. Step 2: Convert to fraction form
    151.68/208.20 = 134.94/x
  3. Step 3: Cross multiply
    151.68x = 208.20 × 134.94
  4. Step 4: Simplify right side
    151.68x = 28,094.51
  5. Step 5: Solve for x
    x = 28,094.51/151.68
  6. Step 6: Final answer
    x = 185.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.