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Finding the Fourth Proportional to 421.71, 631.44 and 275.22

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Solution

The fourth proportional to 421.71, 631.44 and 275.22 is: 412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.71 : 631.44 = 275.22 : x
  2. Step 2: Convert to fraction form
    421.71/631.44 = 275.22/x
  3. Step 3: Cross multiply
    421.71x = 631.44 × 275.22
  4. Step 4: Simplify right side
    421.71x = 173,784.92
  5. Step 5: Solve for x
    x = 173,784.92/421.71
  6. Step 6: Final answer
    x = 412.10

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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.