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Finding the Fourth Proportional to 212.65, 292.05 and 188.06

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Solution

The fourth proportional to 212.65, 292.05 and 188.06 is: 258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.65 : 292.05 = 188.06 : x
  2. Step 2: Convert to fraction form
    212.65/292.05 = 188.06/x
  3. Step 3: Cross multiply
    212.65x = 292.05 × 188.06
  4. Step 4: Simplify right side
    212.65x = 54,921.46
  5. Step 5: Solve for x
    x = 54,921.46/212.65
  6. Step 6: Final answer
    x = 258.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.