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Finding the Fourth Proportional to 211.70, 292.74 and 208.46

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Solution

The fourth proportional to 211.70, 292.74 and 208.46 is: 288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.70 : 292.74 = 208.46 : x
  2. Step 2: Convert to fraction form
    211.70/292.74 = 208.46/x
  3. Step 3: Cross multiply
    211.70x = 292.74 × 208.46
  4. Step 4: Simplify right side
    211.70x = 61,024.58
  5. Step 5: Solve for x
    x = 61,024.58/211.70
  6. Step 6: Final answer
    x = 288.26

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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.