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Finding the Fourth Proportional to 142.65, 197.75 and 135.23

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Solution

The fourth proportional to 142.65, 197.75 and 135.23 is: 187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.65 : 197.75 = 135.23 : x
  2. Step 2: Convert to fraction form
    142.65/197.75 = 135.23/x
  3. Step 3: Cross multiply
    142.65x = 197.75 × 135.23
  4. Step 4: Simplify right side
    142.65x = 26,740.07
  5. Step 5: Solve for x
    x = 26,740.07/142.65
  6. Step 6: Final answer
    x = 187.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.