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Finding the Fourth Proportional to 211.21, 315.36 and 174.69

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Solution

The fourth proportional to 211.21, 315.36 and 174.69 is: 260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.21 : 315.36 = 174.69 : x
  2. Step 2: Convert to fraction form
    211.21/315.36 = 174.69/x
  3. Step 3: Cross multiply
    211.21x = 315.36 × 174.69
  4. Step 4: Simplify right side
    211.21x = 55,090.24
  5. Step 5: Solve for x
    x = 55,090.24/211.21
  6. Step 6: Final answer
    x = 260.83

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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.