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Finding the Fourth Proportional to 421, 631.78 and 164.50

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Solution

The fourth proportional to 421, 631.78 and 164.50 is: 246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421 : 631.78 = 164.50 : x
  2. Step 2: Convert to fraction form
    421/631.78 = 164.50/x
  3. Step 3: Cross multiply
    421x = 631.78 × 164.50
  4. Step 4: Simplify right side
    421x = 103,927.81
  5. Step 5: Solve for x
    x = 103,927.81/421
  6. Step 6: Final answer
    x = 246.86

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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.