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Finding the Fourth Proportional to 298.59, 412.04 and 188.06

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Solution

The fourth proportional to 298.59, 412.04 and 188.06 is: 259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.59 : 412.04 = 188.06 : x
  2. Step 2: Convert to fraction form
    298.59/412.04 = 188.06/x
  3. Step 3: Cross multiply
    298.59x = 412.04 × 188.06
  4. Step 4: Simplify right side
    298.59x = 77,488.24
  5. Step 5: Solve for x
    x = 77,488.24/298.59
  6. Step 6: Final answer
    x = 259.51

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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.