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Finding the Fourth Proportional to 448.14, 617.58 and 323.57

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Solution

The fourth proportional to 448.14, 617.58 and 323.57 is: 445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.14 : 617.58 = 323.57 : x
  2. Step 2: Convert to fraction form
    448.14/617.58 = 323.57/x
  3. Step 3: Cross multiply
    448.14x = 617.58 × 323.57
  4. Step 4: Simplify right side
    448.14x = 199,831.90
  5. Step 5: Solve for x
    x = 199,831.90/448.14
  6. Step 6: Final answer
    x = 445.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.