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Finding the Fourth Proportional to 893.51, 1,340.37 and 338.15

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Solution

The fourth proportional to 893.51, 1,340.37 and 338.15 is: 507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.51 : 1,340.37 = 338.15 : x
  2. Step 2: Convert to fraction form
    893.51/1,340.37 = 338.15/x
  3. Step 3: Cross multiply
    893.51x = 1,340.37 × 338.15
  4. Step 4: Simplify right side
    893.51x = 453,246.65
  5. Step 5: Solve for x
    x = 453,246.65/893.51
  6. Step 6: Final answer
    x = 507.27

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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.