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Finding the Fourth Proportional to 423.08, 583.70 and 239.08

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Solution

The fourth proportional to 423.08, 583.70 and 239.08 is: 329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.08 : 583.70 = 239.08 : x
  2. Step 2: Convert to fraction form
    423.08/583.70 = 239.08/x
  3. Step 3: Cross multiply
    423.08x = 583.70 × 239.08
  4. Step 4: Simplify right side
    423.08x = 139,551.00
  5. Step 5: Solve for x
    x = 139,551.00/423.08
  6. Step 6: Final answer
    x = 329.85

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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.