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Finding the Fourth Proportional to 145.63, 219.24 and 132.87

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Solution

The fourth proportional to 145.63, 219.24 and 132.87 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.63 : 219.24 = 132.87 : x
  2. Step 2: Convert to fraction form
    145.63/219.24 = 132.87/x
  3. Step 3: Cross multiply
    145.63x = 219.24 × 132.87
  4. Step 4: Simplify right side
    145.63x = 29,129.75
  5. Step 5: Solve for x
    x = 29,129.75/145.63
  6. Step 6: Final answer
    x = 200.03

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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.