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Finding the Fourth Proportional to 448.66, 619.26 and 274.12

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Solution

The fourth proportional to 448.66, 619.26 and 274.12 is: 378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.66 : 619.26 = 274.12 : x
  2. Step 2: Convert to fraction form
    448.66/619.26 = 274.12/x
  3. Step 3: Cross multiply
    448.66x = 619.26 × 274.12
  4. Step 4: Simplify right side
    448.66x = 169,751.55
  5. Step 5: Solve for x
    x = 169,751.55/448.66
  6. Step 6: Final answer
    x = 378.35

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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.