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Finding the Fourth Proportional to 103.00, 142.14 and 56.37

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Solution

The fourth proportional to 103.00, 142.14 and 56.37 is: 77.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.00 : 142.14 = 56.37 : x
  2. Step 2: Convert to fraction form
    103.00/142.14 = 56.37/x
  3. Step 3: Cross multiply
    103.00x = 142.14 × 56.37
  4. Step 4: Simplify right side
    103.00x = 8,012.96
  5. Step 5: Solve for x
    x = 8,012.96/103.00
  6. Step 6: Final answer
    x = 77.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.