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Finding the Fourth Proportional to 761.93, 1,142.90 and 214.14

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Solution

The fourth proportional to 761.93, 1,142.90 and 214.14 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.93 : 1,142.90 = 214.14 : x
  2. Step 2: Convert to fraction form
    761.93/1,142.90 = 214.14/x
  3. Step 3: Cross multiply
    761.93x = 1,142.90 × 214.14
  4. Step 4: Simplify right side
    761.93x = 244,740.61
  5. Step 5: Solve for x
    x = 244,740.61/761.93
  6. Step 6: Final answer
    x = 321.21

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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.