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Finding the Fourth Proportional to 448.08, 670.84 and 276.56

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Solution

The fourth proportional to 448.08, 670.84 and 276.56 is: 414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.08 : 670.84 = 276.56 : x
  2. Step 2: Convert to fraction form
    448.08/670.84 = 276.56/x
  3. Step 3: Cross multiply
    448.08x = 670.84 × 276.56
  4. Step 4: Simplify right side
    448.08x = 185,527.51
  5. Step 5: Solve for x
    x = 185,527.51/448.08
  6. Step 6: Final answer
    x = 414.05

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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.