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Finding the Fourth Proportional to 459.12, 633.20 and 335.20

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Solution

The fourth proportional to 459.12, 633.20 and 335.20 is: 462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.12 : 633.20 = 335.20 : x
  2. Step 2: Convert to fraction form
    459.12/633.20 = 335.20/x
  3. Step 3: Cross multiply
    459.12x = 633.20 × 335.20
  4. Step 4: Simplify right side
    459.12x = 212,248.64
  5. Step 5: Solve for x
    x = 212,248.64/459.12
  6. Step 6: Final answer
    x = 462.29

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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.