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Finding the Fourth Proportional to 312.96, 430.44 and 303.84

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Solution

The fourth proportional to 312.96, 430.44 and 303.84 is: 417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 430.44 = 303.84 : x
  2. Step 2: Convert to fraction form
    312.96/430.44 = 303.84/x
  3. Step 3: Cross multiply
    312.96x = 430.44 × 303.84
  4. Step 4: Simplify right side
    312.96x = 130,784.89
  5. Step 5: Solve for x
    x = 130,784.89/312.96
  6. Step 6: Final answer
    x = 417.90

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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.