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Finding the Fourth Proportional to 152.96, 228.10 and 134.76

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Solution

The fourth proportional to 152.96, 228.10 and 134.76 is: 200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.96 : 228.10 = 134.76 : x
  2. Step 2: Convert to fraction form
    152.96/228.10 = 134.76/x
  3. Step 3: Cross multiply
    152.96x = 228.10 × 134.76
  4. Step 4: Simplify right side
    152.96x = 30,738.76
  5. Step 5: Solve for x
    x = 30,738.76/152.96
  6. Step 6: Final answer
    x = 200.96

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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.