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Finding the Fourth Proportional to 422.66, 631.64 and 313.20

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Solution

The fourth proportional to 422.66, 631.64 and 313.20 is: 468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.66 : 631.64 = 313.20 : x
  2. Step 2: Convert to fraction form
    422.66/631.64 = 313.20/x
  3. Step 3: Cross multiply
    422.66x = 631.64 × 313.20
  4. Step 4: Simplify right side
    422.66x = 197,828.08
  5. Step 5: Solve for x
    x = 197,828.08/422.66
  6. Step 6: Final answer
    x = 468.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.