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Finding the Fourth Proportional to 459.86, 635.46 and 349.16

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Solution

The fourth proportional to 459.86, 635.46 and 349.16 is: 482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.86 : 635.46 = 349.16 : x
  2. Step 2: Convert to fraction form
    459.86/635.46 = 349.16/x
  3. Step 3: Cross multiply
    459.86x = 635.46 × 349.16
  4. Step 4: Simplify right side
    459.86x = 221,877.21
  5. Step 5: Solve for x
    x = 221,877.21/459.86
  6. Step 6: Final answer
    x = 482.49

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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.