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Finding the Fourth Proportional to 152.79, 228.94 and 142.43

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Solution

The fourth proportional to 152.79, 228.94 and 142.43 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.79 : 228.94 = 142.43 : x
  2. Step 2: Convert to fraction form
    152.79/228.94 = 142.43/x
  3. Step 3: Cross multiply
    152.79x = 228.94 × 142.43
  4. Step 4: Simplify right side
    152.79x = 32,606.42
  5. Step 5: Solve for x
    x = 32,606.42/152.79
  6. Step 6: Final answer
    x = 213.41

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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.