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Finding the Fourth Proportional to 314.61, 434.15 and 190.25

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Solution

The fourth proportional to 314.61, 434.15 and 190.25 is: 262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.61 : 434.15 = 190.25 : x
  2. Step 2: Convert to fraction form
    314.61/434.15 = 190.25/x
  3. Step 3: Cross multiply
    314.61x = 434.15 × 190.25
  4. Step 4: Simplify right side
    314.61x = 82,594.15
  5. Step 5: Solve for x
    x = 82,594.15/314.61
  6. Step 6: Final answer
    x = 262.53

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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.