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Finding the Fourth Proportional to 294.16, 405.42 and 261.36

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Solution

The fourth proportional to 294.16, 405.42 and 261.36 is: 360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.16 : 405.42 = 261.36 : x
  2. Step 2: Convert to fraction form
    294.16/405.42 = 261.36/x
  3. Step 3: Cross multiply
    294.16x = 405.42 × 261.36
  4. Step 4: Simplify right side
    294.16x = 105,960.57
  5. Step 5: Solve for x
    x = 105,960.57/294.16
  6. Step 6: Final answer
    x = 360.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.