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Finding the Fourth Proportional to 315.95, 435.92 and 199.53

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Solution

The fourth proportional to 315.95, 435.92 and 199.53 is: 275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.95 : 435.92 = 199.53 : x
  2. Step 2: Convert to fraction form
    315.95/435.92 = 199.53/x
  3. Step 3: Cross multiply
    315.95x = 435.92 × 199.53
  4. Step 4: Simplify right side
    315.95x = 86,978.12
  5. Step 5: Solve for x
    x = 86,978.12/315.95
  6. Step 6: Final answer
    x = 275.30

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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.