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Finding the Fourth Proportional to 151.05, 208.60 and 117.98

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Solution

The fourth proportional to 151.05, 208.60 and 117.98 is: 162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.05 : 208.60 = 117.98 : x
  2. Step 2: Convert to fraction form
    151.05/208.60 = 117.98/x
  3. Step 3: Cross multiply
    151.05x = 208.60 × 117.98
  4. Step 4: Simplify right side
    151.05x = 24,610.63
  5. Step 5: Solve for x
    x = 24,610.63/151.05
  6. Step 6: Final answer
    x = 162.93

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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.