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Finding the Fourth Proportional to 211.37, 291.02 and 174.47

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Solution

The fourth proportional to 211.37, 291.02 and 174.47 is: 240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.37 : 291.02 = 174.47 : x
  2. Step 2: Convert to fraction form
    211.37/291.02 = 174.47/x
  3. Step 3: Cross multiply
    211.37x = 291.02 × 174.47
  4. Step 4: Simplify right side
    211.37x = 50,771.93
  5. Step 5: Solve for x
    x = 50,771.93/211.37
  6. Step 6: Final answer
    x = 240.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.