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Finding the Fourth Proportional to 145.45, 219.19 and 131.02

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Solution

The fourth proportional to 145.45, 219.19 and 131.02 is: 197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.45 : 219.19 = 131.02 : x
  2. Step 2: Convert to fraction form
    145.45/219.19 = 131.02/x
  3. Step 3: Cross multiply
    145.45x = 219.19 × 131.02
  4. Step 4: Simplify right side
    145.45x = 28,718.27
  5. Step 5: Solve for x
    x = 28,718.27/145.45
  6. Step 6: Final answer
    x = 197.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.