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Finding the Fourth Proportional to 356.80, 534.96 and 164.32

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Solution

The fourth proportional to 356.80, 534.96 and 164.32 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.80 : 534.96 = 164.32 : x
  2. Step 2: Convert to fraction form
    356.80/534.96 = 164.32/x
  3. Step 3: Cross multiply
    356.80x = 534.96 × 164.32
  4. Step 4: Simplify right side
    356.80x = 87,904.63
  5. Step 5: Solve for x
    x = 87,904.63/356.80
  6. Step 6: Final answer
    x = 246.37

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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.