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Finding the Fourth Proportional to 298.29, 411.80 and 187.83

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Solution

The fourth proportional to 298.29, 411.80 and 187.83 is: 259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.29 : 411.80 = 187.83 : x
  2. Step 2: Convert to fraction form
    298.29/411.80 = 187.83/x
  3. Step 3: Cross multiply
    298.29x = 411.80 × 187.83
  4. Step 4: Simplify right side
    298.29x = 77,347.45
  5. Step 5: Solve for x
    x = 77,347.45/298.29
  6. Step 6: Final answer
    x = 259.30

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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.