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Finding the Fourth Proportional to 165.24, 228.05 and 123.72

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Solution

The fourth proportional to 165.24, 228.05 and 123.72 is: 170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 228.05 = 123.72 : x
  2. Step 2: Convert to fraction form
    165.24/228.05 = 123.72/x
  3. Step 3: Cross multiply
    165.24x = 228.05 × 123.72
  4. Step 4: Simplify right side
    165.24x = 28,214.35
  5. Step 5: Solve for x
    x = 28,214.35/165.24
  6. Step 6: Final answer
    x = 170.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.