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Finding the Fourth Proportional to 151.34, 208.70 and 136.61

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Solution

The fourth proportional to 151.34, 208.70 and 136.61 is: 188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.34 : 208.70 = 136.61 : x
  2. Step 2: Convert to fraction form
    151.34/208.70 = 136.61/x
  3. Step 3: Cross multiply
    151.34x = 208.70 × 136.61
  4. Step 4: Simplify right side
    151.34x = 28,510.51
  5. Step 5: Solve for x
    x = 28,510.51/151.34
  6. Step 6: Final answer
    x = 188.39

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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.