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Finding the Fourth Proportional to 170.48, 234 and 155.90

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Solution

The fourth proportional to 170.48, 234 and 155.90 is: 213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.48 : 234 = 155.90 : x
  2. Step 2: Convert to fraction form
    170.48/234 = 155.90/x
  3. Step 3: Cross multiply
    170.48x = 234 × 155.90
  4. Step 4: Simplify right side
    170.48x = 36,480.60
  5. Step 5: Solve for x
    x = 36,480.60/170.48
  6. Step 6: Final answer
    x = 213.99

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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.