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Finding the Fourth Proportional to 212.87, 317.69 and 207.40

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Solution

The fourth proportional to 212.87, 317.69 and 207.40 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.87 : 317.69 = 207.40 : x
  2. Step 2: Convert to fraction form
    212.87/317.69 = 207.40/x
  3. Step 3: Cross multiply
    212.87x = 317.69 × 207.40
  4. Step 4: Simplify right side
    212.87x = 65,888.91
  5. Step 5: Solve for x
    x = 65,888.91/212.87
  6. Step 6: Final answer
    x = 309.53

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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.