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Finding the Fourth Proportional to 316.84, 434.34 and 301.18

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Solution

The fourth proportional to 316.84, 434.34 and 301.18 is: 412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.84 : 434.34 = 301.18 : x
  2. Step 2: Convert to fraction form
    316.84/434.34 = 301.18/x
  3. Step 3: Cross multiply
    316.84x = 434.34 × 301.18
  4. Step 4: Simplify right side
    316.84x = 130,814.52
  5. Step 5: Solve for x
    x = 130,814.52/316.84
  6. Step 6: Final answer
    x = 412.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.