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Finding the Fourth Proportional to 156.18, 232.94 and 145.38

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Solution

The fourth proportional to 156.18, 232.94 and 145.38 is: 216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.18 : 232.94 = 145.38 : x
  2. Step 2: Convert to fraction form
    156.18/232.94 = 145.38/x
  3. Step 3: Cross multiply
    156.18x = 232.94 × 145.38
  4. Step 4: Simplify right side
    156.18x = 33,864.09
  5. Step 5: Solve for x
    x = 33,864.09/156.18
  6. Step 6: Final answer
    x = 216.83

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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.