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Finding the Fourth Proportional to 420.84, 631.26 and 311.04

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Solution

The fourth proportional to 420.84, 631.26 and 311.04 is: 466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.84 : 631.26 = 311.04 : x
  2. Step 2: Convert to fraction form
    420.84/631.26 = 311.04/x
  3. Step 3: Cross multiply
    420.84x = 631.26 × 311.04
  4. Step 4: Simplify right side
    420.84x = 196,347.11
  5. Step 5: Solve for x
    x = 196,347.11/420.84
  6. Step 6: Final answer
    x = 466.56

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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.