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Finding the Fourth Proportional to 210.18, 314.70 and 198.05

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Solution

The fourth proportional to 210.18, 314.70 and 198.05 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.18 : 314.70 = 198.05 : x
  2. Step 2: Convert to fraction form
    210.18/314.70 = 198.05/x
  3. Step 3: Cross multiply
    210.18x = 314.70 × 198.05
  4. Step 4: Simplify right side
    210.18x = 62,326.34
  5. Step 5: Solve for x
    x = 62,326.34/210.18
  6. Step 6: Final answer
    x = 296.54

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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.