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Finding the Fourth Proportional to 474.21, 711.72 and 312.12

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Solution

The fourth proportional to 474.21, 711.72 and 312.12 is: 468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.21 : 711.72 = 312.12 : x
  2. Step 2: Convert to fraction form
    474.21/711.72 = 312.12/x
  3. Step 3: Cross multiply
    474.21x = 711.72 × 312.12
  4. Step 4: Simplify right side
    474.21x = 222,142.05
  5. Step 5: Solve for x
    x = 222,142.05/474.21
  6. Step 6: Final answer
    x = 468.45

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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.