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Finding the Fourth Proportional to 459.50, 634.21 and 312.19

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Solution

The fourth proportional to 459.50, 634.21 and 312.19 is: 430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.50 : 634.21 = 312.19 : x
  2. Step 2: Convert to fraction form
    459.50/634.21 = 312.19/x
  3. Step 3: Cross multiply
    459.50x = 634.21 × 312.19
  4. Step 4: Simplify right side
    459.50x = 197,991.65
  5. Step 5: Solve for x
    x = 197,991.65/459.50
  6. Step 6: Final answer
    x = 430.89

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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.