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Finding the Fourth Proportional to 170.16, 253.86 and 143.16

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Solution

The fourth proportional to 170.16, 253.86 and 143.16 is: 213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 253.86 = 143.16 : x
  2. Step 2: Convert to fraction form
    170.16/253.86 = 143.16/x
  3. Step 3: Cross multiply
    170.16x = 253.86 × 143.16
  4. Step 4: Simplify right side
    170.16x = 36,342.60
  5. Step 5: Solve for x
    x = 36,342.60/170.16
  6. Step 6: Final answer
    x = 213.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.