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Finding the Fourth Proportional to 324.04, 482.34 and 309.10

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Solution

The fourth proportional to 324.04, 482.34 and 309.10 is: 460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.04 : 482.34 = 309.10 : x
  2. Step 2: Convert to fraction form
    324.04/482.34 = 309.10/x
  3. Step 3: Cross multiply
    324.04x = 482.34 × 309.10
  4. Step 4: Simplify right side
    324.04x = 149,091.29
  5. Step 5: Solve for x
    x = 149,091.29/324.04
  6. Step 6: Final answer
    x = 460.10

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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.