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Finding the Fourth Proportional to 317.21, 438.08 and 282.86

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Solution

The fourth proportional to 317.21, 438.08 and 282.86 is: 390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.21 : 438.08 = 282.86 : x
  2. Step 2: Convert to fraction form
    317.21/438.08 = 282.86/x
  3. Step 3: Cross multiply
    317.21x = 438.08 × 282.86
  4. Step 4: Simplify right side
    317.21x = 123,911.70
  5. Step 5: Solve for x
    x = 123,911.70/317.21
  6. Step 6: Final answer
    x = 390.64

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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.