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Finding the Fourth Proportional to 152.78, 230.32 and 142.34

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Solution

The fourth proportional to 152.78, 230.32 and 142.34 is: 214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.78 : 230.32 = 142.34 : x
  2. Step 2: Convert to fraction form
    152.78/230.32 = 142.34/x
  3. Step 3: Cross multiply
    152.78x = 230.32 × 142.34
  4. Step 4: Simplify right side
    152.78x = 32,783.75
  5. Step 5: Solve for x
    x = 32,783.75/152.78
  6. Step 6: Final answer
    x = 214.58

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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.