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Finding the Fourth Proportional to 761.51, 1,142.26 and 184.38

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Solution

The fourth proportional to 761.51, 1,142.26 and 184.38 is: 276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.51 : 1,142.26 = 184.38 : x
  2. Step 2: Convert to fraction form
    761.51/1,142.26 = 184.38/x
  3. Step 3: Cross multiply
    761.51x = 1,142.26 × 184.38
  4. Step 4: Simplify right side
    761.51x = 210,612.62
  5. Step 5: Solve for x
    x = 210,612.62/761.51
  6. Step 6: Final answer
    x = 276.57

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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.