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Finding the Fourth Proportional to 357.40, 490.97 and 291.70

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Solution

The fourth proportional to 357.40, 490.97 and 291.70 is: 400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.40 : 490.97 = 291.70 : x
  2. Step 2: Convert to fraction form
    357.40/490.97 = 291.70/x
  3. Step 3: Cross multiply
    357.40x = 490.97 × 291.70
  4. Step 4: Simplify right side
    357.40x = 143,215.95
  5. Step 5: Solve for x
    x = 143,215.95/357.40
  6. Step 6: Final answer
    x = 400.72

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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.