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Finding the Fourth Proportional to 298.31, 413.64 and 288.99

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Solution

The fourth proportional to 298.31, 413.64 and 288.99 is: 400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.31 : 413.64 = 288.99 : x
  2. Step 2: Convert to fraction form
    298.31/413.64 = 288.99/x
  3. Step 3: Cross multiply
    298.31x = 413.64 × 288.99
  4. Step 4: Simplify right side
    298.31x = 119,537.82
  5. Step 5: Solve for x
    x = 119,537.82/298.31
  6. Step 6: Final answer
    x = 400.72

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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.