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Finding the Fourth Proportional to 315.80, 435.76 and 184.85

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Solution

The fourth proportional to 315.80, 435.76 and 184.85 is: 255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.80 : 435.76 = 184.85 : x
  2. Step 2: Convert to fraction form
    315.80/435.76 = 184.85/x
  3. Step 3: Cross multiply
    315.80x = 435.76 × 184.85
  4. Step 4: Simplify right side
    315.80x = 80,547.13
  5. Step 5: Solve for x
    x = 80,547.13/315.80
  6. Step 6: Final answer
    x = 255.06

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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.