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Finding the Fourth Proportional to 170, 253.68 and 153.84

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Solution

The fourth proportional to 170, 253.68 and 153.84 is: 229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170 : 253.68 = 153.84 : x
  2. Step 2: Convert to fraction form
    170/253.68 = 153.84/x
  3. Step 3: Cross multiply
    170x = 253.68 × 153.84
  4. Step 4: Simplify right side
    170x = 39,026.13
  5. Step 5: Solve for x
    x = 39,026.13/170
  6. Step 6: Final answer
    x = 229.57

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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.