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Finding the Fourth Proportional to 328.14, 488.77 and 327.51

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Solution

The fourth proportional to 328.14, 488.77 and 327.51 is: 487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.14 : 488.77 = 327.51 : x
  2. Step 2: Convert to fraction form
    328.14/488.77 = 327.51/x
  3. Step 3: Cross multiply
    328.14x = 488.77 × 327.51
  4. Step 4: Simplify right side
    328.14x = 160,076.24
  5. Step 5: Solve for x
    x = 160,076.24/328.14
  6. Step 6: Final answer
    x = 487.83

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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.