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Finding the Fourth Proportional to 420.93, 581.18 and 338.11

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Solution

The fourth proportional to 420.93, 581.18 and 338.11 is: 466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.93 : 581.18 = 338.11 : x
  2. Step 2: Convert to fraction form
    420.93/581.18 = 338.11/x
  3. Step 3: Cross multiply
    420.93x = 581.18 × 338.11
  4. Step 4: Simplify right side
    420.93x = 196,499.63
  5. Step 5: Solve for x
    x = 196,499.63/420.93
  6. Step 6: Final answer
    x = 466.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.