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Finding the Fourth Proportional to 212.85, 317.16 and 203.04

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Solution

The fourth proportional to 212.85, 317.16 and 203.04 is: 302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.85 : 317.16 = 203.04 : x
  2. Step 2: Convert to fraction form
    212.85/317.16 = 203.04/x
  3. Step 3: Cross multiply
    212.85x = 317.16 × 203.04
  4. Step 4: Simplify right side
    212.85x = 64,396.17
  5. Step 5: Solve for x
    x = 64,396.17/212.85
  6. Step 6: Final answer
    x = 302.54

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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.