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Finding the Fourth Proportional to 211.50, 316.58 and 170.51

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Solution

The fourth proportional to 211.50, 316.58 and 170.51 is: 255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.50 : 316.58 = 170.51 : x
  2. Step 2: Convert to fraction form
    211.50/316.58 = 170.51/x
  3. Step 3: Cross multiply
    211.50x = 316.58 × 170.51
  4. Step 4: Simplify right side
    211.50x = 53,977.62
  5. Step 5: Solve for x
    x = 53,977.62/211.50
  6. Step 6: Final answer
    x = 255.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.