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Finding the Fourth Proportional to 170.50, 256.36 and 157.13

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Solution

The fourth proportional to 170.50, 256.36 and 157.13 is: 236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.50 : 256.36 = 157.13 : x
  2. Step 2: Convert to fraction form
    170.50/256.36 = 157.13/x
  3. Step 3: Cross multiply
    170.50x = 256.36 × 157.13
  4. Step 4: Simplify right side
    170.50x = 40,281.85
  5. Step 5: Solve for x
    x = 40,281.85/170.50
  6. Step 6: Final answer
    x = 236.26

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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.