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Finding the Fourth Proportional to 185.31, 277.40 and 152.67

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Solution

The fourth proportional to 185.31, 277.40 and 152.67 is: 228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.31 : 277.40 = 152.67 : x
  2. Step 2: Convert to fraction form
    185.31/277.40 = 152.67/x
  3. Step 3: Cross multiply
    185.31x = 277.40 × 152.67
  4. Step 4: Simplify right side
    185.31x = 42,350.66
  5. Step 5: Solve for x
    x = 42,350.66/185.31
  6. Step 6: Final answer
    x = 228.54

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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.