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Finding the Fourth Proportional to 164.18, 225.58 and 157.02

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Solution

The fourth proportional to 164.18, 225.58 and 157.02 is: 215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.18 : 225.58 = 157.02 : x
  2. Step 2: Convert to fraction form
    164.18/225.58 = 157.02/x
  3. Step 3: Cross multiply
    164.18x = 225.58 × 157.02
  4. Step 4: Simplify right side
    164.18x = 35,420.57
  5. Step 5: Solve for x
    x = 35,420.57/164.18
  6. Step 6: Final answer
    x = 215.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.