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Finding the Fourth Proportional to 465.36, 641.27 and 332.34

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Solution

The fourth proportional to 465.36, 641.27 and 332.34 is: 457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.36 : 641.27 = 332.34 : x
  2. Step 2: Convert to fraction form
    465.36/641.27 = 332.34/x
  3. Step 3: Cross multiply
    465.36x = 641.27 × 332.34
  4. Step 4: Simplify right side
    465.36x = 213,118.01
  5. Step 5: Solve for x
    x = 213,118.01/465.36
  6. Step 6: Final answer
    x = 457.96

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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.