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Finding the Fourth Proportional to 228.85, 314.03 and 208.06

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Solution

The fourth proportional to 228.85, 314.03 and 208.06 is: 285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.85 : 314.03 = 208.06 : x
  2. Step 2: Convert to fraction form
    228.85/314.03 = 208.06/x
  3. Step 3: Cross multiply
    228.85x = 314.03 × 208.06
  4. Step 4: Simplify right side
    228.85x = 65,337.08
  5. Step 5: Solve for x
    x = 65,337.08/228.85
  6. Step 6: Final answer
    x = 285.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.