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Finding the Fourth Proportional to 400.60, 598.60 and 328.24

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Solution

The fourth proportional to 400.60, 598.60 and 328.24 is: 490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.60 : 598.60 = 328.24 : x
  2. Step 2: Convert to fraction form
    400.60/598.60 = 328.24/x
  3. Step 3: Cross multiply
    400.60x = 598.60 × 328.24
  4. Step 4: Simplify right side
    400.60x = 196,484.46
  5. Step 5: Solve for x
    x = 196,484.46/400.60
  6. Step 6: Final answer
    x = 490.48

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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.