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Finding the Fourth Proportional to 761.42, 1,142.30 and 241.45

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Solution

The fourth proportional to 761.42, 1,142.30 and 241.45 is: 362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.42 : 1,142.30 = 241.45 : x
  2. Step 2: Convert to fraction form
    761.42/1,142.30 = 241.45/x
  3. Step 3: Cross multiply
    761.42x = 1,142.30 × 241.45
  4. Step 4: Simplify right side
    761.42x = 275,813.79
  5. Step 5: Solve for x
    x = 275,813.79/761.42
  6. Step 6: Final answer
    x = 362.23

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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.