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Finding the Fourth Proportional to 212.08, 316.40 and 189.00

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Solution

The fourth proportional to 212.08, 316.40 and 189.00 is: 281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.08 : 316.40 = 189.00 : x
  2. Step 2: Convert to fraction form
    212.08/316.40 = 189.00/x
  3. Step 3: Cross multiply
    212.08x = 316.40 × 189.00
  4. Step 4: Simplify right side
    212.08x = 59,798.02
  5. Step 5: Solve for x
    x = 59,798.02/212.08
  6. Step 6: Final answer
    x = 281.96

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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.