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Finding the Fourth Proportional to 427.94, 590.96 and 312.11

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Solution

The fourth proportional to 427.94, 590.96 and 312.11 is: 431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.94 : 590.96 = 312.11 : x
  2. Step 2: Convert to fraction form
    427.94/590.96 = 312.11/x
  3. Step 3: Cross multiply
    427.94x = 590.96 × 312.11
  4. Step 4: Simplify right side
    427.94x = 184,444.53
  5. Step 5: Solve for x
    x = 184,444.53/427.94
  6. Step 6: Final answer
    x = 431.01

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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.