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Finding the Fourth Proportional to 212.10, 317.75 and 158.24

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Solution

The fourth proportional to 212.10, 317.75 and 158.24 is: 237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.10 : 317.75 = 158.24 : x
  2. Step 2: Convert to fraction form
    212.10/317.75 = 158.24/x
  3. Step 3: Cross multiply
    212.10x = 317.75 × 158.24
  4. Step 4: Simplify right side
    212.10x = 50,278.38
  5. Step 5: Solve for x
    x = 50,278.38/212.10
  6. Step 6: Final answer
    x = 237.05

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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.