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Finding the Fourth Proportional to 421.06, 631.92 and 291.97

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Solution

The fourth proportional to 421.06, 631.92 and 291.97 is: 438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.06 : 631.92 = 291.97 : x
  2. Step 2: Convert to fraction form
    421.06/631.92 = 291.97/x
  3. Step 3: Cross multiply
    421.06x = 631.92 × 291.97
  4. Step 4: Simplify right side
    421.06x = 184,501.68
  5. Step 5: Solve for x
    x = 184,501.68/421.06
  6. Step 6: Final answer
    x = 438.18

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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.