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Finding the Fourth Proportional to 295.34, 409.44 and 278.93

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Solution

The fourth proportional to 295.34, 409.44 and 278.93 is: 386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.34 : 409.44 = 278.93 : x
  2. Step 2: Convert to fraction form
    295.34/409.44 = 278.93/x
  3. Step 3: Cross multiply
    295.34x = 409.44 × 278.93
  4. Step 4: Simplify right side
    295.34x = 114,203.05
  5. Step 5: Solve for x
    x = 114,203.05/295.34
  6. Step 6: Final answer
    x = 386.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.