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Finding the Fourth Proportional to 156.81, 233.77 and 150.19

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Solution

The fourth proportional to 156.81, 233.77 and 150.19 is: 223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.81 : 233.77 = 150.19 : x
  2. Step 2: Convert to fraction form
    156.81/233.77 = 150.19/x
  3. Step 3: Cross multiply
    156.81x = 233.77 × 150.19
  4. Step 4: Simplify right side
    156.81x = 35,109.92
  5. Step 5: Solve for x
    x = 35,109.92/156.81
  6. Step 6: Final answer
    x = 223.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.