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Finding the Fourth Proportional to 448.76, 619.86 and 343.21

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Solution

The fourth proportional to 448.76, 619.86 and 343.21 is: 474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.76 : 619.86 = 343.21 : x
  2. Step 2: Convert to fraction form
    448.76/619.86 = 343.21/x
  3. Step 3: Cross multiply
    448.76x = 619.86 × 343.21
  4. Step 4: Simplify right side
    448.76x = 212,741.89
  5. Step 5: Solve for x
    x = 212,741.89/448.76
  6. Step 6: Final answer
    x = 474.06

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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.