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Finding the Fourth Proportional to 147.40, 202.50 and 132.06

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Solution

The fourth proportional to 147.40, 202.50 and 132.06 is: 181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.40 : 202.50 = 132.06 : x
  2. Step 2: Convert to fraction form
    147.40/202.50 = 132.06/x
  3. Step 3: Cross multiply
    147.40x = 202.50 × 132.06
  4. Step 4: Simplify right side
    147.40x = 26,740.81
  5. Step 5: Solve for x
    x = 26,740.81/147.40
  6. Step 6: Final answer
    x = 181.42

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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.