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Finding the Fourth Proportional to 420.51, 630.79 and 112.37

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Solution

The fourth proportional to 420.51, 630.79 and 112.37 is: 168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.51 : 630.79 = 112.37 : x
  2. Step 2: Convert to fraction form
    420.51/630.79 = 112.37/x
  3. Step 3: Cross multiply
    420.51x = 630.79 × 112.37
  4. Step 4: Simplify right side
    420.51x = 70,881.87
  5. Step 5: Solve for x
    x = 70,881.87/420.51
  6. Step 6: Final answer
    x = 168.56

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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.