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Finding the Fourth Proportional to 458.06, 631.43 and 359.65

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Solution

The fourth proportional to 458.06, 631.43 and 359.65 is: 495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.06 : 631.43 = 359.65 : x
  2. Step 2: Convert to fraction form
    458.06/631.43 = 359.65/x
  3. Step 3: Cross multiply
    458.06x = 631.43 × 359.65
  4. Step 4: Simplify right side
    458.06x = 227,093.80
  5. Step 5: Solve for x
    x = 227,093.80/458.06
  6. Step 6: Final answer
    x = 495.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.