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Finding the Fourth Proportional to 156.94, 234.40 and 142.28

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Solution

The fourth proportional to 156.94, 234.40 and 142.28 is: 212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.94 : 234.40 = 142.28 : x
  2. Step 2: Convert to fraction form
    156.94/234.40 = 142.28/x
  3. Step 3: Cross multiply
    156.94x = 234.40 × 142.28
  4. Step 4: Simplify right side
    156.94x = 33,350.43
  5. Step 5: Solve for x
    x = 33,350.43/156.94
  6. Step 6: Final answer
    x = 212.50

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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.