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Finding the Fourth Proportional to 210.84, 314.76 and 198.60

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Solution

The fourth proportional to 210.84, 314.76 and 198.60 is: 296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.84 : 314.76 = 198.60 : x
  2. Step 2: Convert to fraction form
    210.84/314.76 = 198.60/x
  3. Step 3: Cross multiply
    210.84x = 314.76 × 198.60
  4. Step 4: Simplify right side
    210.84x = 62,511.34
  5. Step 5: Solve for x
    x = 62,511.34/210.84
  6. Step 6: Final answer
    x = 296.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.