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Finding the Fourth Proportional to 459.49, 634.08 and 263.02

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Solution

The fourth proportional to 459.49, 634.08 and 263.02 is: 362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.49 : 634.08 = 263.02 : x
  2. Step 2: Convert to fraction form
    459.49/634.08 = 263.02/x
  3. Step 3: Cross multiply
    459.49x = 634.08 × 263.02
  4. Step 4: Simplify right side
    459.49x = 166,775.72
  5. Step 5: Solve for x
    x = 166,775.72/459.49
  6. Step 6: Final answer
    x = 362.96

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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.