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Finding the Fourth Proportional to 170.16, 253.98 and 153.84

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Solution

The fourth proportional to 170.16, 253.98 and 153.84 is: 229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 253.98 = 153.84 : x
  2. Step 2: Convert to fraction form
    170.16/253.98 = 153.84/x
  3. Step 3: Cross multiply
    170.16x = 253.98 × 153.84
  4. Step 4: Simplify right side
    170.16x = 39,072.28
  5. Step 5: Solve for x
    x = 39,072.28/170.16
  6. Step 6: Final answer
    x = 229.62

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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.