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Finding the Fourth Proportional to 164.68, 226.76 and 145

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Solution

The fourth proportional to 164.68, 226.76 and 145 is: 199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.68 : 226.76 = 145 : x
  2. Step 2: Convert to fraction form
    164.68/226.76 = 145/x
  3. Step 3: Cross multiply
    164.68x = 226.76 × 145
  4. Step 4: Simplify right side
    164.68x = 32,880.20
  5. Step 5: Solve for x
    x = 32,880.20/164.68
  6. Step 6: Final answer
    x = 199.66

Related Problems

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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.