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Finding the Fourth Proportional to 211.34, 318.27 and 184.61

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Solution

The fourth proportional to 211.34, 318.27 and 184.61 is: 278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.34 : 318.27 = 184.61 : x
  2. Step 2: Convert to fraction form
    211.34/318.27 = 184.61/x
  3. Step 3: Cross multiply
    211.34x = 318.27 × 184.61
  4. Step 4: Simplify right side
    211.34x = 58,754.23
  5. Step 5: Solve for x
    x = 58,754.23/211.34
  6. Step 6: Final answer
    x = 278.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.