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Finding the Fourth Proportional to 210.04, 312.95 and 198.25

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Solution

The fourth proportional to 210.04, 312.95 and 198.25 is: 295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.04 : 312.95 = 198.25 : x
  2. Step 2: Convert to fraction form
    210.04/312.95 = 198.25/x
  3. Step 3: Cross multiply
    210.04x = 312.95 × 198.25
  4. Step 4: Simplify right side
    210.04x = 62,044.25
  5. Step 5: Solve for x
    x = 62,044.25/210.04
  6. Step 6: Final answer
    x = 295.39

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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.