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Finding the Fourth Proportional to 164.52, 245.37 and 142.59

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Solution

The fourth proportional to 164.52, 245.37 and 142.59 is: 212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.52 : 245.37 = 142.59 : x
  2. Step 2: Convert to fraction form
    164.52/245.37 = 142.59/x
  3. Step 3: Cross multiply
    164.52x = 245.37 × 142.59
  4. Step 4: Simplify right side
    164.52x = 34,987.31
  5. Step 5: Solve for x
    x = 34,987.31/164.52
  6. Step 6: Final answer
    x = 212.66

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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.