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Finding the Fourth Proportional to 342.09, 512.60 and 156.74

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Solution

The fourth proportional to 342.09, 512.60 and 156.74 is: 234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.09 : 512.60 = 156.74 : x
  2. Step 2: Convert to fraction form
    342.09/512.60 = 156.74/x
  3. Step 3: Cross multiply
    342.09x = 512.60 × 156.74
  4. Step 4: Simplify right side
    342.09x = 80,341.58
  5. Step 5: Solve for x
    x = 80,341.58/342.09
  6. Step 6: Final answer
    x = 234.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.