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Finding the Fourth Proportional to 448, 668.96 and 366.64

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Solution

The fourth proportional to 448, 668.96 and 366.64 is: 547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    448 : 668.96 = 366.64 : x
  2. Step 2: Convert to fraction form
    448/668.96 = 366.64/x
  3. Step 3: Cross multiply
    448x = 668.96 × 366.64
  4. Step 4: Simplify right side
    448x = 245,267.49
  5. Step 5: Solve for x
    x = 245,267.49/448
  6. Step 6: Final answer
    x = 547.47

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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.