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Finding the Fourth Proportional to 155.34, 213.02 and 140.70

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Solution

The fourth proportional to 155.34, 213.02 and 140.70 is: 192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.34 : 213.02 = 140.70 : x
  2. Step 2: Convert to fraction form
    155.34/213.02 = 140.70/x
  3. Step 3: Cross multiply
    155.34x = 213.02 × 140.70
  4. Step 4: Simplify right side
    155.34x = 29,971.21
  5. Step 5: Solve for x
    x = 29,971.21/155.34
  6. Step 6: Final answer
    x = 192.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.