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Finding the Fourth Proportional to 295.24, 409.15 and 289.48

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Solution

The fourth proportional to 295.24, 409.15 and 289.48 is: 401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.24 : 409.15 = 289.48 : x
  2. Step 2: Convert to fraction form
    295.24/409.15 = 289.48/x
  3. Step 3: Cross multiply
    295.24x = 409.15 × 289.48
  4. Step 4: Simplify right side
    295.24x = 118,440.74
  5. Step 5: Solve for x
    x = 118,440.74/295.24
  6. Step 6: Final answer
    x = 401.17

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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.