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Finding the Fourth Proportional to 458.22, 631.71 and 365.28

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Solution

The fourth proportional to 458.22, 631.71 and 365.28 is: 503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.22 : 631.71 = 365.28 : x
  2. Step 2: Convert to fraction form
    458.22/631.71 = 365.28/x
  3. Step 3: Cross multiply
    458.22x = 631.71 × 365.28
  4. Step 4: Simplify right side
    458.22x = 230,751.03
  5. Step 5: Solve for x
    x = 230,751.03/458.22
  6. Step 6: Final answer
    x = 503.58

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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.