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Finding the Fourth Proportional to 156.98, 234.25 and 140.78

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Solution

The fourth proportional to 156.98, 234.25 and 140.78 is: 210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.98 : 234.25 = 140.78 : x
  2. Step 2: Convert to fraction form
    156.98/234.25 = 140.78/x
  3. Step 3: Cross multiply
    156.98x = 234.25 × 140.78
  4. Step 4: Simplify right side
    156.98x = 32,977.72
  5. Step 5: Solve for x
    x = 32,977.72/156.98
  6. Step 6: Final answer
    x = 210.08

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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.