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Finding the Fourth Proportional to 164.55, 228.14 and 156.33

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Solution

The fourth proportional to 164.55, 228.14 and 156.33 is: 216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.55 : 228.14 = 156.33 : x
  2. Step 2: Convert to fraction form
    164.55/228.14 = 156.33/x
  3. Step 3: Cross multiply
    164.55x = 228.14 × 156.33
  4. Step 4: Simplify right side
    164.55x = 35,664.34
  5. Step 5: Solve for x
    x = 35,664.34/164.55
  6. Step 6: Final answer
    x = 216.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.