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Finding the Fourth Proportional to 448.42, 619.12 and 343.32

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Solution

The fourth proportional to 448.42, 619.12 and 343.32 is: 474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.42 : 619.12 = 343.32 : x
  2. Step 2: Convert to fraction form
    448.42/619.12 = 343.32/x
  3. Step 3: Cross multiply
    448.42x = 619.12 × 343.32
  4. Step 4: Simplify right side
    448.42x = 212,556.28
  5. Step 5: Solve for x
    x = 212,556.28/448.42
  6. Step 6: Final answer
    x = 474.01

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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.