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Finding the Fourth Proportional to 142.94, 215.18 and 110.62

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Solution

The fourth proportional to 142.94, 215.18 and 110.62 is: 166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.94 : 215.18 = 110.62 : x
  2. Step 2: Convert to fraction form
    142.94/215.18 = 110.62/x
  3. Step 3: Cross multiply
    142.94x = 215.18 × 110.62
  4. Step 4: Simplify right side
    142.94x = 23,803.76
  5. Step 5: Solve for x
    x = 23,803.76/142.94
  6. Step 6: Final answer
    x = 166.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.