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Finding the Fourth Proportional to 317.12, 437.40 and 206.69

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Solution

The fourth proportional to 317.12, 437.40 and 206.69 is: 285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.12 : 437.40 = 206.69 : x
  2. Step 2: Convert to fraction form
    317.12/437.40 = 206.69/x
  3. Step 3: Cross multiply
    317.12x = 437.40 × 206.69
  4. Step 4: Simplify right side
    317.12x = 90,404.02
  5. Step 5: Solve for x
    x = 90,404.02/317.12
  6. Step 6: Final answer
    x = 285.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.