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Finding the Fourth Proportional to 317.30, 437.27 and 316.76

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Solution

The fourth proportional to 317.30, 437.27 and 316.76 is: 436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.30 : 437.27 = 316.76 : x
  2. Step 2: Convert to fraction form
    317.30/437.27 = 316.76/x
  3. Step 3: Cross multiply
    317.30x = 437.27 × 316.76
  4. Step 4: Simplify right side
    317.30x = 138,505.88
  5. Step 5: Solve for x
    x = 138,505.88/317.30
  6. Step 6: Final answer
    x = 436.52

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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.