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Finding the Fourth Proportional to 365.21, 504.70 and 324.71

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Solution

The fourth proportional to 365.21, 504.70 and 324.71 is: 448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.21 : 504.70 = 324.71 : x
  2. Step 2: Convert to fraction form
    365.21/504.70 = 324.71/x
  3. Step 3: Cross multiply
    365.21x = 504.70 × 324.71
  4. Step 4: Simplify right side
    365.21x = 163,881.14
  5. Step 5: Solve for x
    x = 163,881.14/365.21
  6. Step 6: Final answer
    x = 448.73

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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.