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Finding the Fourth Proportional to 301.12, 451.98 and 164.16

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Solution

The fourth proportional to 301.12, 451.98 and 164.16 is: 246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.12 : 451.98 = 164.16 : x
  2. Step 2: Convert to fraction form
    301.12/451.98 = 164.16/x
  3. Step 3: Cross multiply
    301.12x = 451.98 × 164.16
  4. Step 4: Simplify right side
    301.12x = 74,197.04
  5. Step 5: Solve for x
    x = 74,197.04/301.12
  6. Step 6: Final answer
    x = 246.40

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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.