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Finding the Fourth Proportional to 459.22, 633.12 and 341.20

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Solution

The fourth proportional to 459.22, 633.12 and 341.20 is: 470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.22 : 633.12 = 341.20 : x
  2. Step 2: Convert to fraction form
    459.22/633.12 = 341.20/x
  3. Step 3: Cross multiply
    459.22x = 633.12 × 341.20
  4. Step 4: Simplify right side
    459.22x = 216,020.54
  5. Step 5: Solve for x
    x = 216,020.54/459.22
  6. Step 6: Final answer
    x = 470.41

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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.