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Finding the Fourth Proportional to 327.21, 488.66 and 284.01

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Solution

The fourth proportional to 327.21, 488.66 and 284.01 is: 424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.21 : 488.66 = 284.01 : x
  2. Step 2: Convert to fraction form
    327.21/488.66 = 284.01/x
  3. Step 3: Cross multiply
    327.21x = 488.66 × 284.01
  4. Step 4: Simplify right side
    327.21x = 138,781.87
  5. Step 5: Solve for x
    x = 138,781.87/327.21
  6. Step 6: Final answer
    x = 424.14

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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.