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Finding the Fourth Proportional to 212.35, 317.91 and 147.19

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Solution

The fourth proportional to 212.35, 317.91 and 147.19 is: 220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.35 : 317.91 = 147.19 : x
  2. Step 2: Convert to fraction form
    212.35/317.91 = 147.19/x
  3. Step 3: Cross multiply
    212.35x = 317.91 × 147.19
  4. Step 4: Simplify right side
    212.35x = 46,793.17
  5. Step 5: Solve for x
    x = 46,793.17/212.35
  6. Step 6: Final answer
    x = 220.36

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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.