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Finding the Fourth Proportional to 315.45, 435.38 and 184.53

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Solution

The fourth proportional to 315.45, 435.38 and 184.53 is: 254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.45 : 435.38 = 184.53 : x
  2. Step 2: Convert to fraction form
    315.45/435.38 = 184.53/x
  3. Step 3: Cross multiply
    315.45x = 435.38 × 184.53
  4. Step 4: Simplify right side
    315.45x = 80,339.75
  5. Step 5: Solve for x
    x = 80,339.75/315.45
  6. Step 6: Final answer
    x = 254.68

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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.