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Finding the Fourth Proportional to 211.46, 314.67 and 203.26

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Solution

The fourth proportional to 211.46, 314.67 and 203.26 is: 302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.46 : 314.67 = 203.26 : x
  2. Step 2: Convert to fraction form
    211.46/314.67 = 203.26/x
  3. Step 3: Cross multiply
    211.46x = 314.67 × 203.26
  4. Step 4: Simplify right side
    211.46x = 63,958.25
  5. Step 5: Solve for x
    x = 63,958.25/211.46
  6. Step 6: Final answer
    x = 302.47

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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.