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Finding the Fourth Proportional to 316.97, 438.26 and 312.32

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Solution

The fourth proportional to 316.97, 438.26 and 312.32 is: 431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.97 : 438.26 = 312.32 : x
  2. Step 2: Convert to fraction form
    316.97/438.26 = 312.32/x
  3. Step 3: Cross multiply
    316.97x = 438.26 × 312.32
  4. Step 4: Simplify right side
    316.97x = 136,873.61
  5. Step 5: Solve for x
    x = 136,873.61/316.97
  6. Step 6: Final answer
    x = 431.82

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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.