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Finding the Fourth Proportional to 312.07, 466.89 and 208.87

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Solution

The fourth proportional to 312.07, 466.89 and 208.87 is: 312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.07 : 466.89 = 208.87 : x
  2. Step 2: Convert to fraction form
    312.07/466.89 = 208.87/x
  3. Step 3: Cross multiply
    312.07x = 466.89 × 208.87
  4. Step 4: Simplify right side
    312.07x = 97,519.31
  5. Step 5: Solve for x
    x = 97,519.31/312.07
  6. Step 6: Final answer
    x = 312.49

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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.