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Finding the Fourth Proportional to 147.65, 202.61 and 131.99

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Solution

The fourth proportional to 147.65, 202.61 and 131.99 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.65 : 202.61 = 131.99 : x
  2. Step 2: Convert to fraction form
    147.65/202.61 = 131.99/x
  3. Step 3: Cross multiply
    147.65x = 202.61 × 131.99
  4. Step 4: Simplify right side
    147.65x = 26,741.81
  5. Step 5: Solve for x
    x = 26,741.81/147.65
  6. Step 6: Final answer
    x = 181.12

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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.