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Finding the Fourth Proportional to 208.04, 312.05 and 164.66

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Solution

The fourth proportional to 208.04, 312.05 and 164.66 is: 246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.04 : 312.05 = 164.66 : x
  2. Step 2: Convert to fraction form
    208.04/312.05 = 164.66/x
  3. Step 3: Cross multiply
    208.04x = 312.05 × 164.66
  4. Step 4: Simplify right side
    208.04x = 51,381.00
  5. Step 5: Solve for x
    x = 51,381.00/208.04
  6. Step 6: Final answer
    x = 246.98

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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.