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Finding the Fourth Proportional to 312.58, 433.18 and 308.17

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Solution

The fourth proportional to 312.58, 433.18 and 308.17 is: 427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.58 : 433.18 = 308.17 : x
  2. Step 2: Convert to fraction form
    312.58/433.18 = 308.17/x
  3. Step 3: Cross multiply
    312.58x = 433.18 × 308.17
  4. Step 4: Simplify right side
    312.58x = 133,492.47
  5. Step 5: Solve for x
    x = 133,492.47/312.58
  6. Step 6: Final answer
    x = 427.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.