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Finding the Fourth Proportional to 314.86, 434.55 and 198.58

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Solution

The fourth proportional to 314.86, 434.55 and 198.58 is: 274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.86 : 434.55 = 198.58 : x
  2. Step 2: Convert to fraction form
    314.86/434.55 = 198.58/x
  3. Step 3: Cross multiply
    314.86x = 434.55 × 198.58
  4. Step 4: Simplify right side
    314.86x = 86,292.94
  5. Step 5: Solve for x
    x = 86,292.94/314.86
  6. Step 6: Final answer
    x = 274.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.