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Finding the Fourth Proportional to 357.07, 490.13 and 316.85

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Solution

The fourth proportional to 357.07, 490.13 and 316.85 is: 434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.07 : 490.13 = 316.85 : x
  2. Step 2: Convert to fraction form
    357.07/490.13 = 316.85/x
  3. Step 3: Cross multiply
    357.07x = 490.13 × 316.85
  4. Step 4: Simplify right side
    357.07x = 155,295.17
  5. Step 5: Solve for x
    x = 155,295.17/357.07
  6. Step 6: Final answer
    x = 434.92

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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.