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Finding the Fourth Proportional to 448.93, 673.40 and 192.25

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Solution

The fourth proportional to 448.93, 673.40 and 192.25 is: 288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.93 : 673.40 = 192.25 : x
  2. Step 2: Convert to fraction form
    448.93/673.40 = 192.25/x
  3. Step 3: Cross multiply
    448.93x = 673.40 × 192.25
  4. Step 4: Simplify right side
    448.93x = 129,461.15
  5. Step 5: Solve for x
    x = 129,461.15/448.93
  6. Step 6: Final answer
    x = 288.38

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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.