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Finding the Fourth Proportional to 146.58, 202.40 and 131.01

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Solution

The fourth proportional to 146.58, 202.40 and 131.01 is: 180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.58 : 202.40 = 131.01 : x
  2. Step 2: Convert to fraction form
    146.58/202.40 = 131.01/x
  3. Step 3: Cross multiply
    146.58x = 202.40 × 131.01
  4. Step 4: Simplify right side
    146.58x = 26,514.76
  5. Step 5: Solve for x
    x = 26,514.76/146.58
  6. Step 6: Final answer
    x = 180.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.