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Finding the Fourth Proportional to 339.27, 465.40 and 332.07

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Solution

The fourth proportional to 339.27, 465.40 and 332.07 is: 455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.27 : 465.40 = 332.07 : x
  2. Step 2: Convert to fraction form
    339.27/465.40 = 332.07/x
  3. Step 3: Cross multiply
    339.27x = 465.40 × 332.07
  4. Step 4: Simplify right side
    339.27x = 154,544.55
  5. Step 5: Solve for x
    x = 154,544.55/339.27
  6. Step 6: Final answer
    x = 455.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.