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Finding the Fourth Proportional to 382.48, 570.45 and 325.08

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Solution

The fourth proportional to 382.48, 570.45 and 325.08 is: 484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.48 : 570.45 = 325.08 : x
  2. Step 2: Convert to fraction form
    382.48/570.45 = 325.08/x
  3. Step 3: Cross multiply
    382.48x = 570.45 × 325.08
  4. Step 4: Simplify right side
    382.48x = 185,441.89
  5. Step 5: Solve for x
    x = 185,441.89/382.48
  6. Step 6: Final answer
    x = 484.84

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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.