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Finding the Fourth Proportional to 156.33, 233.08 and 142.51

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Solution

The fourth proportional to 156.33, 233.08 and 142.51 is: 212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.33 : 233.08 = 142.51 : x
  2. Step 2: Convert to fraction form
    156.33/233.08 = 142.51/x
  3. Step 3: Cross multiply
    156.33x = 233.08 × 142.51
  4. Step 4: Simplify right side
    156.33x = 33,215.73
  5. Step 5: Solve for x
    x = 33,215.73/156.33
  6. Step 6: Final answer
    x = 212.47

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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.