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Finding the Fourth Proportional to 212.04, 316.55 and 189.23

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Solution

The fourth proportional to 212.04, 316.55 and 189.23 is: 282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.04 : 316.55 = 189.23 : x
  2. Step 2: Convert to fraction form
    212.04/316.55 = 189.23/x
  3. Step 3: Cross multiply
    212.04x = 316.55 × 189.23
  4. Step 4: Simplify right side
    212.04x = 59,899.65
  5. Step 5: Solve for x
    x = 59,899.65/212.04
  6. Step 6: Final answer
    x = 282.49

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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.