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Finding the Fourth Proportional to 312.04, 430.50 and 311.56

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Solution

The fourth proportional to 312.04, 430.50 and 311.56 is: 429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.04 : 430.50 = 311.56 : x
  2. Step 2: Convert to fraction form
    312.04/430.50 = 311.56/x
  3. Step 3: Cross multiply
    312.04x = 430.50 × 311.56
  4. Step 4: Simplify right side
    312.04x = 134,126.58
  5. Step 5: Solve for x
    x = 134,126.58/312.04
  6. Step 6: Final answer
    x = 429.84

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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.