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Finding the Fourth Proportional to 295.92, 410.45 and 284.99

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Solution

The fourth proportional to 295.92, 410.45 and 284.99 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.92 : 410.45 = 284.99 : x
  2. Step 2: Convert to fraction form
    295.92/410.45 = 284.99/x
  3. Step 3: Cross multiply
    295.92x = 410.45 × 284.99
  4. Step 4: Simplify right side
    295.92x = 116,970.67
  5. Step 5: Solve for x
    x = 116,970.67/295.92
  6. Step 6: Final answer
    x = 395.28

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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.