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Finding the Fourth Proportional to 164.21, 245.77 and 160.70

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Solution

The fourth proportional to 164.21, 245.77 and 160.70 is: 240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.21 : 245.77 = 160.70 : x
  2. Step 2: Convert to fraction form
    164.21/245.77 = 160.70/x
  3. Step 3: Cross multiply
    164.21x = 245.77 × 160.70
  4. Step 4: Simplify right side
    164.21x = 39,493.61
  5. Step 5: Solve for x
    x = 39,493.61/164.21
  6. Step 6: Final answer
    x = 240.51

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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.