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Finding the Fourth Proportional to 446.45, 665.96 and 400.28

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Solution

The fourth proportional to 446.45, 665.96 and 400.28 is: 597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.45 : 665.96 = 400.28 : x
  2. Step 2: Convert to fraction form
    446.45/665.96 = 400.28/x
  3. Step 3: Cross multiply
    446.45x = 665.96 × 400.28
  4. Step 4: Simplify right side
    446.45x = 266,565.14
  5. Step 5: Solve for x
    x = 266,565.14/446.45
  6. Step 6: Final answer
    x = 597.08

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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.