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Finding the Fourth Proportional to 358.44, 491.07 and 345.48

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Solution

The fourth proportional to 358.44, 491.07 and 345.48 is: 473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.44 : 491.07 = 345.48 : x
  2. Step 2: Convert to fraction form
    358.44/491.07 = 345.48/x
  3. Step 3: Cross multiply
    358.44x = 491.07 × 345.48
  4. Step 4: Simplify right side
    358.44x = 169,654.86
  5. Step 5: Solve for x
    x = 169,654.86/358.44
  6. Step 6: Final answer
    x = 473.31

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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.