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Finding the Fourth Proportional to 459.61, 635.24 and 361.19

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Solution

The fourth proportional to 459.61, 635.24 and 361.19 is: 499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.61 : 635.24 = 361.19 : x
  2. Step 2: Convert to fraction form
    459.61/635.24 = 361.19/x
  3. Step 3: Cross multiply
    459.61x = 635.24 × 361.19
  4. Step 4: Simplify right side
    459.61x = 229,444.83
  5. Step 5: Solve for x
    x = 229,444.83/459.61
  6. Step 6: Final answer
    x = 499.22

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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.