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Finding the Fourth Proportional to 170.46, 233.59 and 154.05

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Solution

The fourth proportional to 170.46, 233.59 and 154.05 is: 211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.46 : 233.59 = 154.05 : x
  2. Step 2: Convert to fraction form
    170.46/233.59 = 154.05/x
  3. Step 3: Cross multiply
    170.46x = 233.59 × 154.05
  4. Step 4: Simplify right side
    170.46x = 35,985.24
  5. Step 5: Solve for x
    x = 35,985.24/170.46
  6. Step 6: Final answer
    x = 211.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.