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Finding the Fourth Proportional to 357.35, 490.19 and 345.47

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Solution

The fourth proportional to 357.35, 490.19 and 345.47 is: 473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.35 : 490.19 = 345.47 : x
  2. Step 2: Convert to fraction form
    357.35/490.19 = 345.47/x
  3. Step 3: Cross multiply
    357.35x = 490.19 × 345.47
  4. Step 4: Simplify right side
    357.35x = 169,341.76
  5. Step 5: Solve for x
    x = 169,341.76/357.35
  6. Step 6: Final answer
    x = 473.89

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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.