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Finding the Fourth Proportional to 164.46, 245.40 and 146.19

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Solution

The fourth proportional to 164.46, 245.40 and 146.19 is: 218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.46 : 245.40 = 146.19 : x
  2. Step 2: Convert to fraction form
    164.46/245.40 = 146.19/x
  3. Step 3: Cross multiply
    164.46x = 245.40 × 146.19
  4. Step 4: Simplify right side
    164.46x = 35,875.03
  5. Step 5: Solve for x
    x = 35,875.03/164.46
  6. Step 6: Final answer
    x = 218.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.