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Finding the Fourth Proportional to 325.42, 488.16 and 304.09

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Solution

The fourth proportional to 325.42, 488.16 and 304.09 is: 456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.42 : 488.16 = 304.09 : x
  2. Step 2: Convert to fraction form
    325.42/488.16 = 304.09/x
  3. Step 3: Cross multiply
    325.42x = 488.16 × 304.09
  4. Step 4: Simplify right side
    325.42x = 148,443.35
  5. Step 5: Solve for x
    x = 148,443.35/325.42
  6. Step 6: Final answer
    x = 456.16

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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.