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Finding the Fourth Proportional to 315.16, 434.96 and 190.82

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Solution

The fourth proportional to 315.16, 434.96 and 190.82 is: 263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.16 : 434.96 = 190.82 : x
  2. Step 2: Convert to fraction form
    315.16/434.96 = 190.82/x
  3. Step 3: Cross multiply
    315.16x = 434.96 × 190.82
  4. Step 4: Simplify right side
    315.16x = 83,000.63
  5. Step 5: Solve for x
    x = 83,000.63/315.16
  6. Step 6: Final answer
    x = 263.36

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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.