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Finding the Fourth Proportional to 210.98, 315.68 and 164.98

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Solution

The fourth proportional to 210.98, 315.68 and 164.98 is: 246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.98 : 315.68 = 164.98 : x
  2. Step 2: Convert to fraction form
    210.98/315.68 = 164.98/x
  3. Step 3: Cross multiply
    210.98x = 315.68 × 164.98
  4. Step 4: Simplify right side
    210.98x = 52,080.89
  5. Step 5: Solve for x
    x = 52,080.89/210.98
  6. Step 6: Final answer
    x = 246.85

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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.