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Finding the Fourth Proportional to 420.99, 580.95 and 231.95

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Solution

The fourth proportional to 420.99, 580.95 and 231.95 is: 320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.99 : 580.95 = 231.95 : x
  2. Step 2: Convert to fraction form
    420.99/580.95 = 231.95/x
  3. Step 3: Cross multiply
    420.99x = 580.95 × 231.95
  4. Step 4: Simplify right side
    420.99x = 134,751.35
  5. Step 5: Solve for x
    x = 134,751.35/420.99
  6. Step 6: Final answer
    x = 320.08

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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.