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Finding the Fourth Proportional to 316.67, 435.74 and 307.17

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Solution

The fourth proportional to 316.67, 435.74 and 307.17 is: 422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.67 : 435.74 = 307.17 : x
  2. Step 2: Convert to fraction form
    316.67/435.74 = 307.17/x
  3. Step 3: Cross multiply
    316.67x = 435.74 × 307.17
  4. Step 4: Simplify right side
    316.67x = 133,844.72
  5. Step 5: Solve for x
    x = 133,844.72/316.67
  6. Step 6: Final answer
    x = 422.67

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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.