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Finding the Fourth Proportional to 918.16, 1,377.26 and 268.94

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Solution

The fourth proportional to 918.16, 1,377.26 and 268.94 is: 403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.16 : 1,377.26 = 268.94 : x
  2. Step 2: Convert to fraction form
    918.16/1,377.26 = 268.94/x
  3. Step 3: Cross multiply
    918.16x = 1,377.26 × 268.94
  4. Step 4: Simplify right side
    918.16x = 370,400.30
  5. Step 5: Solve for x
    x = 370,400.30/918.16
  6. Step 6: Final answer
    x = 403.42

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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.