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Finding the Fourth Proportional to 315.95, 435.83 and 191.57

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Solution

The fourth proportional to 315.95, 435.83 and 191.57 is: 264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.95 : 435.83 = 191.57 : x
  2. Step 2: Convert to fraction form
    315.95/435.83 = 191.57/x
  3. Step 3: Cross multiply
    315.95x = 435.83 × 191.57
  4. Step 4: Simplify right side
    315.95x = 83,488.82
  5. Step 5: Solve for x
    x = 83,488.82/315.95
  6. Step 6: Final answer
    x = 264.25

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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.