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Finding the Fourth Proportional to 295.86, 406.98 and 259.08

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Solution

The fourth proportional to 295.86, 406.98 and 259.08 is: 356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.86 : 406.98 = 259.08 : x
  2. Step 2: Convert to fraction form
    295.86/406.98 = 259.08/x
  3. Step 3: Cross multiply
    295.86x = 406.98 × 259.08
  4. Step 4: Simplify right side
    295.86x = 105,440.38
  5. Step 5: Solve for x
    x = 105,440.38/295.86
  6. Step 6: Final answer
    x = 356.39

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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.