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Finding the Fourth Proportional to 400.48, 598.86 and 296.56

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Solution

The fourth proportional to 400.48, 598.86 and 296.56 is: 443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.48 : 598.86 = 296.56 : x
  2. Step 2: Convert to fraction form
    400.48/598.86 = 296.56/x
  3. Step 3: Cross multiply
    400.48x = 598.86 × 296.56
  4. Step 4: Simplify right side
    400.48x = 177,597.92
  5. Step 5: Solve for x
    x = 177,597.92/400.48
  6. Step 6: Final answer
    x = 443.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.