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Finding the Fourth Proportional to 212.71, 317.50 and 197.70

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Solution

The fourth proportional to 212.71, 317.50 and 197.70 is: 295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.71 : 317.50 = 197.70 : x
  2. Step 2: Convert to fraction form
    212.71/317.50 = 197.70/x
  3. Step 3: Cross multiply
    212.71x = 317.50 × 197.70
  4. Step 4: Simplify right side
    212.71x = 62,767.17
  5. Step 5: Solve for x
    x = 62,767.17/212.71
  6. Step 6: Final answer
    x = 295.08

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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.