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Finding the Fourth Proportional to 400.64, 603.70 and 330.08

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Solution

The fourth proportional to 400.64, 603.70 and 330.08 is: 497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.64 : 603.70 = 330.08 : x
  2. Step 2: Convert to fraction form
    400.64/603.70 = 330.08/x
  3. Step 3: Cross multiply
    400.64x = 603.70 × 330.08
  4. Step 4: Simplify right side
    400.64x = 199,269.30
  5. Step 5: Solve for x
    x = 199,269.30/400.64
  6. Step 6: Final answer
    x = 497.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.