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Finding the Fourth Proportional to 210.91, 316.90 and 133.91

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Solution

The fourth proportional to 210.91, 316.90 and 133.91 is: 201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.91 : 316.90 = 133.91 : x
  2. Step 2: Convert to fraction form
    210.91/316.90 = 133.91/x
  3. Step 3: Cross multiply
    210.91x = 316.90 × 133.91
  4. Step 4: Simplify right side
    210.91x = 42,436.07
  5. Step 5: Solve for x
    x = 42,436.07/210.91
  6. Step 6: Final answer
    x = 201.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.