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Finding the Fourth Proportional to 156.68, 233.22 and 154.36

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Solution

The fourth proportional to 156.68, 233.22 and 154.36 is: 229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.68 : 233.22 = 154.36 : x
  2. Step 2: Convert to fraction form
    156.68/233.22 = 154.36/x
  3. Step 3: Cross multiply
    156.68x = 233.22 × 154.36
  4. Step 4: Simplify right side
    156.68x = 35,999.84
  5. Step 5: Solve for x
    x = 35,999.84/156.68
  6. Step 6: Final answer
    x = 229.77

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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.