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Finding the Fourth Proportional to 459.05, 633.26 and 291.08

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Solution

The fourth proportional to 459.05, 633.26 and 291.08 is: 401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.05 : 633.26 = 291.08 : x
  2. Step 2: Convert to fraction form
    459.05/633.26 = 291.08/x
  3. Step 3: Cross multiply
    459.05x = 633.26 × 291.08
  4. Step 4: Simplify right side
    459.05x = 184,324.70
  5. Step 5: Solve for x
    x = 184,324.70/459.05
  6. Step 6: Final answer
    x = 401.54

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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.