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Finding the Fourth Proportional to 458.44, 631.72 and 339.98

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Solution

The fourth proportional to 458.44, 631.72 and 339.98 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.44 : 631.72 = 339.98 : x
  2. Step 2: Convert to fraction form
    458.44/631.72 = 339.98/x
  3. Step 3: Cross multiply
    458.44x = 631.72 × 339.98
  4. Step 4: Simplify right side
    458.44x = 214,772.17
  5. Step 5: Solve for x
    x = 214,772.17/458.44
  6. Step 6: Final answer
    x = 468.48

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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.