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Finding the Fourth Proportional to 427.20, 590.10 and 335.10

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Solution

The fourth proportional to 427.20, 590.10 and 335.10 is: 462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.20 : 590.10 = 335.10 : x
  2. Step 2: Convert to fraction form
    427.20/590.10 = 335.10/x
  3. Step 3: Cross multiply
    427.20x = 590.10 × 335.10
  4. Step 4: Simplify right side
    427.20x = 197,742.51
  5. Step 5: Solve for x
    x = 197,742.51/427.20
  6. Step 6: Final answer
    x = 462.88

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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.