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Finding the Fourth Proportional to 355.43, 488.51 and 313.73

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Solution

The fourth proportional to 355.43, 488.51 and 313.73 is: 431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.43 : 488.51 = 313.73 : x
  2. Step 2: Convert to fraction form
    355.43/488.51 = 313.73/x
  3. Step 3: Cross multiply
    355.43x = 488.51 × 313.73
  4. Step 4: Simplify right side
    355.43x = 153,262.25
  5. Step 5: Solve for x
    x = 153,262.25/355.43
  6. Step 6: Final answer
    x = 431.20

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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.