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Finding the Fourth Proportional to 142.18, 213.26 and 45.99

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Solution

The fourth proportional to 142.18, 213.26 and 45.99 is: 68.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.18 : 213.26 = 45.99 : x
  2. Step 2: Convert to fraction form
    142.18/213.26 = 45.99/x
  3. Step 3: Cross multiply
    142.18x = 213.26 × 45.99
  4. Step 4: Simplify right side
    142.18x = 9,807.83
  5. Step 5: Solve for x
    x = 9,807.83/142.18
  6. Step 6: Final answer
    x = 68.98

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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.