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Finding the Fourth Proportional to 164.66, 245.12 and 156.80

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Solution

The fourth proportional to 164.66, 245.12 and 156.80 is: 233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.66 : 245.12 = 156.80 : x
  2. Step 2: Convert to fraction form
    164.66/245.12 = 156.80/x
  3. Step 3: Cross multiply
    164.66x = 245.12 × 156.80
  4. Step 4: Simplify right side
    164.66x = 38,434.82
  5. Step 5: Solve for x
    x = 38,434.82/164.66
  6. Step 6: Final answer
    x = 233.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.