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Finding the Fourth Proportional to 150.86, 207.99 and 109.40

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Solution

The fourth proportional to 150.86, 207.99 and 109.40 is: 150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.86 : 207.99 = 109.40 : x
  2. Step 2: Convert to fraction form
    150.86/207.99 = 109.40/x
  3. Step 3: Cross multiply
    150.86x = 207.99 × 109.40
  4. Step 4: Simplify right side
    150.86x = 22,753.07
  5. Step 5: Solve for x
    x = 22,753.07/150.86
  6. Step 6: Final answer
    x = 150.82

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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.