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Finding the Fourth Proportional to 420.81, 633.69 and 367.35

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Solution

The fourth proportional to 420.81, 633.69 and 367.35 is: 553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.81 : 633.69 = 367.35 : x
  2. Step 2: Convert to fraction form
    420.81/633.69 = 367.35/x
  3. Step 3: Cross multiply
    420.81x = 633.69 × 367.35
  4. Step 4: Simplify right side
    420.81x = 232,786.02
  5. Step 5: Solve for x
    x = 232,786.02/420.81
  6. Step 6: Final answer
    x = 553.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.