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Finding the Fourth Proportional to 918.19, 1,377.19 and 268.93

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Solution

The fourth proportional to 918.19, 1,377.19 and 268.93 is: 403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.19 : 1,377.19 = 268.93 : x
  2. Step 2: Convert to fraction form
    918.19/1,377.19 = 268.93/x
  3. Step 3: Cross multiply
    918.19x = 1,377.19 × 268.93
  4. Step 4: Simplify right side
    918.19x = 370,367.71
  5. Step 5: Solve for x
    x = 370,367.71/918.19
  6. Step 6: Final answer
    x = 403.37

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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.