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Finding the Fourth Proportional to 427.76, 589.93 and 311.12

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Solution

The fourth proportional to 427.76, 589.93 and 311.12 is: 429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.76 : 589.93 = 311.12 : x
  2. Step 2: Convert to fraction form
    427.76/589.93 = 311.12/x
  3. Step 3: Cross multiply
    427.76x = 589.93 × 311.12
  4. Step 4: Simplify right side
    427.76x = 183,539.02
  5. Step 5: Solve for x
    x = 183,539.02/427.76
  6. Step 6: Final answer
    x = 429.07

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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.