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Finding the Fourth Proportional to 401.58, 600.08 and 328.50

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Solution

The fourth proportional to 401.58, 600.08 and 328.50 is: 490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.58 : 600.08 = 328.50 : x
  2. Step 2: Convert to fraction form
    401.58/600.08 = 328.50/x
  3. Step 3: Cross multiply
    401.58x = 600.08 × 328.50
  4. Step 4: Simplify right side
    401.58x = 197,124.64
  5. Step 5: Solve for x
    x = 197,124.64/401.58
  6. Step 6: Final answer
    x = 490.87

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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.