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Finding the Fourth Proportional to 310.68, 427.68 and 266.76

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Solution

The fourth proportional to 310.68, 427.68 and 266.76 is: 367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.68 : 427.68 = 266.76 : x
  2. Step 2: Convert to fraction form
    310.68/427.68 = 266.76/x
  3. Step 3: Cross multiply
    310.68x = 427.68 × 266.76
  4. Step 4: Simplify right side
    310.68x = 114,087.92
  5. Step 5: Solve for x
    x = 114,087.92/310.68
  6. Step 6: Final answer
    x = 367.22

Related Problems

Find fourth proportional to 155.34, 213.84 and 133.38
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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.