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Finding the Fourth Proportional to 315.29, 475.67 and 305.78

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Solution

The fourth proportional to 315.29, 475.67 and 305.78 is: 461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.29 : 475.67 = 305.78 : x
  2. Step 2: Convert to fraction form
    315.29/475.67 = 305.78/x
  3. Step 3: Cross multiply
    315.29x = 475.67 × 305.78
  4. Step 4: Simplify right side
    315.29x = 145,448.76
  5. Step 5: Solve for x
    x = 145,448.76/315.29
  6. Step 6: Final answer
    x = 461.31

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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.