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Finding the Fourth Proportional to 231.36, 348.18 and 208.98

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Solution

The fourth proportional to 231.36, 348.18 and 208.98 is: 314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.36 : 348.18 = 208.98 : x
  2. Step 2: Convert to fraction form
    231.36/348.18 = 208.98/x
  3. Step 3: Cross multiply
    231.36x = 348.18 × 208.98
  4. Step 4: Simplify right side
    231.36x = 72,762.66
  5. Step 5: Solve for x
    x = 72,762.66/231.36
  6. Step 6: Final answer
    x = 314.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.