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Finding the Fourth Proportional to 918.51, 1,378.08 and 269.34

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Solution

The fourth proportional to 918.51, 1,378.08 and 269.34 is: 404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.51 : 1,378.08 = 269.34 : x
  2. Step 2: Convert to fraction form
    918.51/1,378.08 = 269.34/x
  3. Step 3: Cross multiply
    918.51x = 1,378.08 × 269.34
  4. Step 4: Simplify right side
    918.51x = 371,172.07
  5. Step 5: Solve for x
    x = 371,172.07/918.51
  6. Step 6: Final answer
    x = 404.10

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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.