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Finding the Fourth Proportional to 538.24, 806.64 and 332.56

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Solution

The fourth proportional to 538.24, 806.64 and 332.56 is: 498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.24 : 806.64 = 332.56 : x
  2. Step 2: Convert to fraction form
    538.24/806.64 = 332.56/x
  3. Step 3: Cross multiply
    538.24x = 806.64 × 332.56
  4. Step 4: Simplify right side
    538.24x = 268,256.20
  5. Step 5: Solve for x
    x = 268,256.20/538.24
  6. Step 6: Final answer
    x = 498.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.