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Finding the Fourth Proportional to 762.02, 1,142.90 and 214.21

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Solution

The fourth proportional to 762.02, 1,142.90 and 214.21 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.02 : 1,142.90 = 214.21 : x
  2. Step 2: Convert to fraction form
    762.02/1,142.90 = 214.21/x
  3. Step 3: Cross multiply
    762.02x = 1,142.90 × 214.21
  4. Step 4: Simplify right side
    762.02x = 244,820.61
  5. Step 5: Solve for x
    x = 244,820.61/762.02
  6. Step 6: Final answer
    x = 321.28

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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.