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Finding the Fourth Proportional to 358.22, 539.43 and 313.13

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Solution

The fourth proportional to 358.22, 539.43 and 313.13 is: 471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.22 : 539.43 = 313.13 : x
  2. Step 2: Convert to fraction form
    358.22/539.43 = 313.13/x
  3. Step 3: Cross multiply
    358.22x = 539.43 × 313.13
  4. Step 4: Simplify right side
    358.22x = 168,911.89
  5. Step 5: Solve for x
    x = 168,911.89/358.22
  6. Step 6: Final answer
    x = 471.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.