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Finding the Fourth Proportional to 390.26, 583.22 and 308.25

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Solution

The fourth proportional to 390.26, 583.22 and 308.25 is: 460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.26 : 583.22 = 308.25 : x
  2. Step 2: Convert to fraction form
    390.26/583.22 = 308.25/x
  3. Step 3: Cross multiply
    390.26x = 583.22 × 308.25
  4. Step 4: Simplify right side
    390.26x = 179,778.34
  5. Step 5: Solve for x
    x = 179,778.34/390.26
  6. Step 6: Final answer
    x = 460.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.