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Finding the Fourth Proportional to 312.93, 469.46 and 183.06

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Solution

The fourth proportional to 312.93, 469.46 and 183.06 is: 274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.93 : 469.46 = 183.06 : x
  2. Step 2: Convert to fraction form
    312.93/469.46 = 183.06/x
  3. Step 3: Cross multiply
    312.93x = 469.46 × 183.06
  4. Step 4: Simplify right side
    312.93x = 85,939.81
  5. Step 5: Solve for x
    x = 85,939.81/312.93
  6. Step 6: Final answer
    x = 274.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.