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Finding the Fourth Proportional to 324.77, 448.32 and 255.02

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Solution

The fourth proportional to 324.77, 448.32 and 255.02 is: 352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.77 : 448.32 = 255.02 : x
  2. Step 2: Convert to fraction form
    324.77/448.32 = 255.02/x
  3. Step 3: Cross multiply
    324.77x = 448.32 × 255.02
  4. Step 4: Simplify right side
    324.77x = 114,328.32
  5. Step 5: Solve for x
    x = 114,328.32/324.77
  6. Step 6: Final answer
    x = 352.03

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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.