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Finding the Fourth Proportional to 152.92, 228.11 and 143.61

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Solution

The fourth proportional to 152.92, 228.11 and 143.61 is: 214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.92 : 228.11 = 143.61 : x
  2. Step 2: Convert to fraction form
    152.92/228.11 = 143.61/x
  3. Step 3: Cross multiply
    152.92x = 228.11 × 143.61
  4. Step 4: Simplify right side
    152.92x = 32,758.88
  5. Step 5: Solve for x
    x = 32,758.88/152.92
  6. Step 6: Final answer
    x = 214.22

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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.