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Finding the Fourth Proportional to 389.84, 536.88 and 324.08

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Solution

The fourth proportional to 389.84, 536.88 and 324.08 is: 446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.84 : 536.88 = 324.08 : x
  2. Step 2: Convert to fraction form
    389.84/536.88 = 324.08/x
  3. Step 3: Cross multiply
    389.84x = 536.88 × 324.08
  4. Step 4: Simplify right side
    389.84x = 173,992.07
  5. Step 5: Solve for x
    x = 173,992.07/389.84
  6. Step 6: Final answer
    x = 446.32

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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.