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Finding the Fourth Proportional to 166.83, 228.99 and 152.99

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Solution

The fourth proportional to 166.83, 228.99 and 152.99 is: 209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.83 : 228.99 = 152.99 : x
  2. Step 2: Convert to fraction form
    166.83/228.99 = 152.99/x
  3. Step 3: Cross multiply
    166.83x = 228.99 × 152.99
  4. Step 4: Simplify right side
    166.83x = 35,031.27
  5. Step 5: Solve for x
    x = 35,031.27/166.83
  6. Step 6: Final answer
    x = 209.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.