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Finding the Fourth Proportional to 289, 398.77 and 164.63

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Solution

The fourth proportional to 289, 398.77 and 164.63 is: 227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 398.77 = 164.63 : x
  2. Step 2: Convert to fraction form
    289/398.77 = 164.63/x
  3. Step 3: Cross multiply
    289x = 398.77 × 164.63
  4. Step 4: Simplify right side
    289x = 65,649.51
  5. Step 5: Solve for x
    x = 65,649.51/289
  6. Step 6: Final answer
    x = 227.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.