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Finding the Fourth Proportional to 212.93, 317.70 and 190.91

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Solution

The fourth proportional to 212.93, 317.70 and 190.91 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.93 : 317.70 = 190.91 : x
  2. Step 2: Convert to fraction form
    212.93/317.70 = 190.91/x
  3. Step 3: Cross multiply
    212.93x = 317.70 × 190.91
  4. Step 4: Simplify right side
    212.93x = 60,652.11
  5. Step 5: Solve for x
    x = 60,652.11/212.93
  6. Step 6: Final answer
    x = 284.85

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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.