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Finding the Fourth Proportional to 295.31, 407.54 and 164.32

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Solution

The fourth proportional to 295.31, 407.54 and 164.32 is: 226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.31 : 407.54 = 164.32 : x
  2. Step 2: Convert to fraction form
    295.31/407.54 = 164.32/x
  3. Step 3: Cross multiply
    295.31x = 407.54 × 164.32
  4. Step 4: Simplify right side
    295.31x = 66,966.36
  5. Step 5: Solve for x
    x = 66,966.36/295.31
  6. Step 6: Final answer
    x = 226.76

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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.