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Finding the Fourth Proportional to 324.06, 482.81 and 308.58

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Solution

The fourth proportional to 324.06, 482.81 and 308.58 is: 459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.06 : 482.81 = 308.58 : x
  2. Step 2: Convert to fraction form
    324.06/482.81 = 308.58/x
  3. Step 3: Cross multiply
    324.06x = 482.81 × 308.58
  4. Step 4: Simplify right side
    324.06x = 148,985.51
  5. Step 5: Solve for x
    x = 148,985.51/324.06
  6. Step 6: Final answer
    x = 459.75

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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.