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Finding the Fourth Proportional to 448.14, 674.70 and 351.16

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Solution

The fourth proportional to 448.14, 674.70 and 351.16 is: 528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.14 : 674.70 = 351.16 : x
  2. Step 2: Convert to fraction form
    448.14/674.70 = 351.16/x
  3. Step 3: Cross multiply
    448.14x = 674.70 × 351.16
  4. Step 4: Simplify right side
    448.14x = 236,927.65
  5. Step 5: Solve for x
    x = 236,927.65/448.14
  6. Step 6: Final answer
    x = 528.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.