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Finding the Fourth Proportional to 142.90, 212.93 and 136.36

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Solution

The fourth proportional to 142.90, 212.93 and 136.36 is: 203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.90 : 212.93 = 136.36 : x
  2. Step 2: Convert to fraction form
    142.90/212.93 = 136.36/x
  3. Step 3: Cross multiply
    142.90x = 212.93 × 136.36
  4. Step 4: Simplify right side
    142.90x = 29,035.13
  5. Step 5: Solve for x
    x = 29,035.13/142.90
  6. Step 6: Final answer
    x = 203.18

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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.