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Finding the Fourth Proportional to 317.23, 435.44 and 281.48

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Solution

The fourth proportional to 317.23, 435.44 and 281.48 is: 386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.23 : 435.44 = 281.48 : x
  2. Step 2: Convert to fraction form
    317.23/435.44 = 281.48/x
  3. Step 3: Cross multiply
    317.23x = 435.44 × 281.48
  4. Step 4: Simplify right side
    317.23x = 122,565.47
  5. Step 5: Solve for x
    x = 122,565.47/317.23
  6. Step 6: Final answer
    x = 386.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.