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Finding the Fourth Proportional to 316.56, 434.10 and 312.08

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Solution

The fourth proportional to 316.56, 434.10 and 312.08 is: 427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.56 : 434.10 = 312.08 : x
  2. Step 2: Convert to fraction form
    316.56/434.10 = 312.08/x
  3. Step 3: Cross multiply
    316.56x = 434.10 × 312.08
  4. Step 4: Simplify right side
    316.56x = 135,473.93
  5. Step 5: Solve for x
    x = 135,473.93/316.56
  6. Step 6: Final answer
    x = 427.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.