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Finding the Fourth Proportional to 142.78, 214.40 and 102.23

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Solution

The fourth proportional to 142.78, 214.40 and 102.23 is: 153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.78 : 214.40 = 102.23 : x
  2. Step 2: Convert to fraction form
    142.78/214.40 = 102.23/x
  3. Step 3: Cross multiply
    142.78x = 214.40 × 102.23
  4. Step 4: Simplify right side
    142.78x = 21,918.11
  5. Step 5: Solve for x
    x = 21,918.11/142.78
  6. Step 6: Final answer
    x = 153.51

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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.