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Finding the Fourth Proportional to 317.64, 438.68 and 256.12

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Solution

The fourth proportional to 317.64, 438.68 and 256.12 is: 353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.64 : 438.68 = 256.12 : x
  2. Step 2: Convert to fraction form
    317.64/438.68 = 256.12/x
  3. Step 3: Cross multiply
    317.64x = 438.68 × 256.12
  4. Step 4: Simplify right side
    317.64x = 112,354.72
  5. Step 5: Solve for x
    x = 112,354.72/317.64
  6. Step 6: Final answer
    x = 353.72

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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.