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Finding the Fourth Proportional to 463.36, 695.38 and 309.22

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Solution

The fourth proportional to 463.36, 695.38 and 309.22 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.36 : 695.38 = 309.22 : x
  2. Step 2: Convert to fraction form
    463.36/695.38 = 309.22/x
  3. Step 3: Cross multiply
    463.36x = 695.38 × 309.22
  4. Step 4: Simplify right side
    463.36x = 215,025.40
  5. Step 5: Solve for x
    x = 215,025.40/463.36
  6. Step 6: Final answer
    x = 464.06

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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.