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Finding the Fourth Proportional to 324.96, 482.01 and 320.10

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Solution

The fourth proportional to 324.96, 482.01 and 320.10 is: 474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.96 : 482.01 = 320.10 : x
  2. Step 2: Convert to fraction form
    324.96/482.01 = 320.10/x
  3. Step 3: Cross multiply
    324.96x = 482.01 × 320.10
  4. Step 4: Simplify right side
    324.96x = 154,291.40
  5. Step 5: Solve for x
    x = 154,291.40/324.96
  6. Step 6: Final answer
    x = 474.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.