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Finding the Fourth Proportional to 482.30, 723.08 and 225.50

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Solution

The fourth proportional to 482.30, 723.08 and 225.50 is: 338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.30 : 723.08 = 225.50 : x
  2. Step 2: Convert to fraction form
    482.30/723.08 = 225.50/x
  3. Step 3: Cross multiply
    482.30x = 723.08 × 225.50
  4. Step 4: Simplify right side
    482.30x = 163,054.54
  5. Step 5: Solve for x
    x = 163,054.54/482.30
  6. Step 6: Final answer
    x = 338.08

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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.