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Finding the Fourth Proportional to 152.85, 228.05 and 146.09

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Solution

The fourth proportional to 152.85, 228.05 and 146.09 is: 217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.85 : 228.05 = 146.09 : x
  2. Step 2: Convert to fraction form
    152.85/228.05 = 146.09/x
  3. Step 3: Cross multiply
    152.85x = 228.05 × 146.09
  4. Step 4: Simplify right side
    152.85x = 33,316.21
  5. Step 5: Solve for x
    x = 33,316.21/152.85
  6. Step 6: Final answer
    x = 217.96

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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.