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Finding the Fourth Proportional to 315.10, 434.84 and 190.74

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Solution

The fourth proportional to 315.10, 434.84 and 190.74 is: 263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.10 : 434.84 = 190.74 : x
  2. Step 2: Convert to fraction form
    315.10/434.84 = 190.74/x
  3. Step 3: Cross multiply
    315.10x = 434.84 × 190.74
  4. Step 4: Simplify right side
    315.10x = 82,941.38
  5. Step 5: Solve for x
    x = 82,941.38/315.10
  6. Step 6: Final answer
    x = 263.22

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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.