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Finding the Fourth Proportional to 142.56, 212.88 and 133.68

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Solution

The fourth proportional to 142.56, 212.88 and 133.68 is: 199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.56 : 212.88 = 133.68 : x
  2. Step 2: Convert to fraction form
    142.56/212.88 = 133.68/x
  3. Step 3: Cross multiply
    142.56x = 212.88 × 133.68
  4. Step 4: Simplify right side
    142.56x = 28,457.80
  5. Step 5: Solve for x
    x = 28,457.80/142.56
  6. Step 6: Final answer
    x = 199.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.