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Finding the Fourth Proportional to 210.57, 314.07 and 198.69

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Solution

The fourth proportional to 210.57, 314.07 and 198.69 is: 296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.57 : 314.07 = 198.69 : x
  2. Step 2: Convert to fraction form
    210.57/314.07 = 198.69/x
  3. Step 3: Cross multiply
    210.57x = 314.07 × 198.69
  4. Step 4: Simplify right side
    210.57x = 62,402.57
  5. Step 5: Solve for x
    x = 62,402.57/210.57
  6. Step 6: Final answer
    x = 296.35

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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.