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Finding the Fourth Proportional to 295.37, 406.49 and 287.74

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Solution

The fourth proportional to 295.37, 406.49 and 287.74 is: 395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.37 : 406.49 = 287.74 : x
  2. Step 2: Convert to fraction form
    295.37/406.49 = 287.74/x
  3. Step 3: Cross multiply
    295.37x = 406.49 × 287.74
  4. Step 4: Simplify right side
    295.37x = 116,962.50
  5. Step 5: Solve for x
    x = 116,962.50/295.37
  6. Step 6: Final answer
    x = 395.99

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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.