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Finding the Fourth Proportional to 315.90, 435.87 and 184.83

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Solution

The fourth proportional to 315.90, 435.87 and 184.83 is: 255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.90 : 435.87 = 184.83 : x
  2. Step 2: Convert to fraction form
    315.90/435.87 = 184.83/x
  3. Step 3: Cross multiply
    315.90x = 435.87 × 184.83
  4. Step 4: Simplify right side
    315.90x = 80,561.85
  5. Step 5: Solve for x
    x = 80,561.85/315.90
  6. Step 6: Final answer
    x = 255.02

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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.