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Finding the Fourth Proportional to 295.34, 409.21 and 288.86

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Solution

The fourth proportional to 295.34, 409.21 and 288.86 is: 400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.34 : 409.21 = 288.86 : x
  2. Step 2: Convert to fraction form
    295.34/409.21 = 288.86/x
  3. Step 3: Cross multiply
    295.34x = 409.21 × 288.86
  4. Step 4: Simplify right side
    295.34x = 118,202.96
  5. Step 5: Solve for x
    x = 118,202.96/295.34
  6. Step 6: Final answer
    x = 400.23

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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.