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Finding the Fourth Proportional to 152.07, 226.47 and 142.75

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Solution

The fourth proportional to 152.07, 226.47 and 142.75 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.07 : 226.47 = 142.75 : x
  2. Step 2: Convert to fraction form
    152.07/226.47 = 142.75/x
  3. Step 3: Cross multiply
    152.07x = 226.47 × 142.75
  4. Step 4: Simplify right side
    152.07x = 32,328.59
  5. Step 5: Solve for x
    x = 32,328.59/152.07
  6. Step 6: Final answer
    x = 212.59

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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.