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Finding the Fourth Proportional to 335.20, 508.64 and 335.20

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Solution

The fourth proportional to 335.20, 508.64 and 335.20 is: 508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.20 : 508.64 = 335.20 : x
  2. Step 2: Convert to fraction form
    335.20/508.64 = 335.20/x
  3. Step 3: Cross multiply
    335.20x = 508.64 × 335.20
  4. Step 4: Simplify right side
    335.20x = 170,496.13
  5. Step 5: Solve for x
    x = 170,496.13/335.20
  6. Step 6: Final answer
    x = 508.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.