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Finding the Fourth Proportional to 466.21, 697.48 and 311.40

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Solution

The fourth proportional to 466.21, 697.48 and 311.40 is: 465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.21 : 697.48 = 311.40 : x
  2. Step 2: Convert to fraction form
    466.21/697.48 = 311.40/x
  3. Step 3: Cross multiply
    466.21x = 697.48 × 311.40
  4. Step 4: Simplify right side
    466.21x = 217,195.27
  5. Step 5: Solve for x
    x = 217,195.27/466.21
  6. Step 6: Final answer
    x = 465.87

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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.