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Finding the Fourth Proportional to 448.13, 617.68 and 300.71

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Solution

The fourth proportional to 448.13, 617.68 and 300.71 is: 414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.13 : 617.68 = 300.71 : x
  2. Step 2: Convert to fraction form
    448.13/617.68 = 300.71/x
  3. Step 3: Cross multiply
    448.13x = 617.68 × 300.71
  4. Step 4: Simplify right side
    448.13x = 185,742.55
  5. Step 5: Solve for x
    x = 185,742.55/448.13
  6. Step 6: Final answer
    x = 414.48

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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.