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Finding the Fourth Proportional to 170.80, 235.57 and 152.15

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Solution

The fourth proportional to 170.80, 235.57 and 152.15 is: 209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.80 : 235.57 = 152.15 : x
  2. Step 2: Convert to fraction form
    170.80/235.57 = 152.15/x
  3. Step 3: Cross multiply
    170.80x = 235.57 × 152.15
  4. Step 4: Simplify right side
    170.80x = 35,840.27
  5. Step 5: Solve for x
    x = 35,840.27/170.80
  6. Step 6: Final answer
    x = 209.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.