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Finding the Fourth Proportional to 315.84, 475.95 and 300.90

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Solution

The fourth proportional to 315.84, 475.95 and 300.90 is: 453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.84 : 475.95 = 300.90 : x
  2. Step 2: Convert to fraction form
    315.84/475.95 = 300.90/x
  3. Step 3: Cross multiply
    315.84x = 475.95 × 300.90
  4. Step 4: Simplify right side
    315.84x = 143,213.36
  5. Step 5: Solve for x
    x = 143,213.36/315.84
  6. Step 6: Final answer
    x = 453.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.