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Finding the Fourth Proportional to 464.09, 695.16 and 309.56

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Solution

The fourth proportional to 464.09, 695.16 and 309.56 is: 463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.09 : 695.16 = 309.56 : x
  2. Step 2: Convert to fraction form
    464.09/695.16 = 309.56/x
  3. Step 3: Cross multiply
    464.09x = 695.16 × 309.56
  4. Step 4: Simplify right side
    464.09x = 215,190.25
  5. Step 5: Solve for x
    x = 215,190.25/464.09
  6. Step 6: Final answer
    x = 463.69

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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.