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Finding the Fourth Proportional to 756.17, 1,134.23 and 208.38

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Solution

The fourth proportional to 756.17, 1,134.23 and 208.38 is: 312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.17 : 1,134.23 = 208.38 : x
  2. Step 2: Convert to fraction form
    756.17/1,134.23 = 208.38/x
  3. Step 3: Cross multiply
    756.17x = 1,134.23 × 208.38
  4. Step 4: Simplify right side
    756.17x = 236,349.81
  5. Step 5: Solve for x
    x = 236,349.81/756.17
  6. Step 6: Final answer
    x = 312.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.