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Finding the Fourth Proportional to 420.88, 631.36 and 164.40

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Solution

The fourth proportional to 420.88, 631.36 and 164.40 is: 246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.88 : 631.36 = 164.40 : x
  2. Step 2: Convert to fraction form
    420.88/631.36 = 164.40/x
  3. Step 3: Cross multiply
    420.88x = 631.36 × 164.40
  4. Step 4: Simplify right side
    420.88x = 103,795.58
  5. Step 5: Solve for x
    x = 103,795.58/420.88
  6. Step 6: Final answer
    x = 246.62

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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.