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Finding the Fourth Proportional to 211.60, 316.99 and 175.04

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Solution

The fourth proportional to 211.60, 316.99 and 175.04 is: 262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.60 : 316.99 = 175.04 : x
  2. Step 2: Convert to fraction form
    211.60/316.99 = 175.04/x
  3. Step 3: Cross multiply
    211.60x = 316.99 × 175.04
  4. Step 4: Simplify right side
    211.60x = 55,485.93
  5. Step 5: Solve for x
    x = 55,485.93/211.60
  6. Step 6: Final answer
    x = 262.22

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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.