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Finding the Fourth Proportional to 423.81, 638.19 and 309.06

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Solution

The fourth proportional to 423.81, 638.19 and 309.06 is: 465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.81 : 638.19 = 309.06 : x
  2. Step 2: Convert to fraction form
    423.81/638.19 = 309.06/x
  3. Step 3: Cross multiply
    423.81x = 638.19 × 309.06
  4. Step 4: Simplify right side
    423.81x = 197,239.00
  5. Step 5: Solve for x
    x = 197,239.00/423.81
  6. Step 6: Final answer
    x = 465.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.