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Finding the Fourth Proportional to 301.48, 451.20 and 164.16

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Solution

The fourth proportional to 301.48, 451.20 and 164.16 is: 245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.48 : 451.20 = 164.16 : x
  2. Step 2: Convert to fraction form
    301.48/451.20 = 164.16/x
  3. Step 3: Cross multiply
    301.48x = 451.20 × 164.16
  4. Step 4: Simplify right side
    301.48x = 74,068.99
  5. Step 5: Solve for x
    x = 74,068.99/301.48
  6. Step 6: Final answer
    x = 245.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.