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Finding the Fourth Proportional to 316.89, 435.75 and 307.17

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Solution

The fourth proportional to 316.89, 435.75 and 307.17 is: 422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.89 : 435.75 = 307.17 : x
  2. Step 2: Convert to fraction form
    316.89/435.75 = 307.17/x
  3. Step 3: Cross multiply
    316.89x = 435.75 × 307.17
  4. Step 4: Simplify right side
    316.89x = 133,847.60
  5. Step 5: Solve for x
    x = 133,847.60/316.89
  6. Step 6: Final answer
    x = 422.38

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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.