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Finding the Fourth Proportional to 228.16, 314.15 and 194.91

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Solution

The fourth proportional to 228.16, 314.15 and 194.91 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.16 : 314.15 = 194.91 : x
  2. Step 2: Convert to fraction form
    228.16/314.15 = 194.91/x
  3. Step 3: Cross multiply
    228.16x = 314.15 × 194.91
  4. Step 4: Simplify right side
    228.16x = 61,230.98
  5. Step 5: Solve for x
    x = 61,230.98/228.16
  6. Step 6: Final answer
    x = 268.37

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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.