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Finding the Fourth Proportional to 150.78, 207.94 and 117.59

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Solution

The fourth proportional to 150.78, 207.94 and 117.59 is: 162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.78 : 207.94 = 117.59 : x
  2. Step 2: Convert to fraction form
    150.78/207.94 = 117.59/x
  3. Step 3: Cross multiply
    150.78x = 207.94 × 117.59
  4. Step 4: Simplify right side
    150.78x = 24,451.66
  5. Step 5: Solve for x
    x = 24,451.66/150.78
  6. Step 6: Final answer
    x = 162.17

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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.