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Finding the Fourth Proportional to 324.88, 491.44 and 322.72

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Solution

The fourth proportional to 324.88, 491.44 and 322.72 is: 488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.88 : 491.44 = 322.72 : x
  2. Step 2: Convert to fraction form
    324.88/491.44 = 322.72/x
  3. Step 3: Cross multiply
    324.88x = 491.44 × 322.72
  4. Step 4: Simplify right side
    324.88x = 158,597.52
  5. Step 5: Solve for x
    x = 158,597.52/324.88
  6. Step 6: Final answer
    x = 488.17

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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.