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Finding the Fourth Proportional to 364.80, 500.58 and 331.92

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Solution

The fourth proportional to 364.80, 500.58 and 331.92 is: 455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.80 : 500.58 = 331.92 : x
  2. Step 2: Convert to fraction form
    364.80/500.58 = 331.92/x
  3. Step 3: Cross multiply
    364.80x = 500.58 × 331.92
  4. Step 4: Simplify right side
    364.80x = 166,152.51
  5. Step 5: Solve for x
    x = 166,152.51/364.80
  6. Step 6: Final answer
    x = 455.46

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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.