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Finding the Fourth Proportional to 323.84, 485.94 and 152.84

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Solution

The fourth proportional to 323.84, 485.94 and 152.84 is: 229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.84 : 485.94 = 152.84 : x
  2. Step 2: Convert to fraction form
    323.84/485.94 = 152.84/x
  3. Step 3: Cross multiply
    323.84x = 485.94 × 152.84
  4. Step 4: Simplify right side
    323.84x = 74,271.07
  5. Step 5: Solve for x
    x = 74,271.07/323.84
  6. Step 6: Final answer
    x = 229.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.