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Finding the Fourth Proportional to 164.74, 245.44 and 157.76

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Solution

The fourth proportional to 164.74, 245.44 and 157.76 is: 235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.74 : 245.44 = 157.76 : x
  2. Step 2: Convert to fraction form
    164.74/245.44 = 157.76/x
  3. Step 3: Cross multiply
    164.74x = 245.44 × 157.76
  4. Step 4: Simplify right side
    164.74x = 38,720.61
  5. Step 5: Solve for x
    x = 38,720.61/164.74
  6. Step 6: Final answer
    x = 235.04

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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.