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Finding the Fourth Proportional to 152.55, 229.01 and 144.63

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Solution

The fourth proportional to 152.55, 229.01 and 144.63 is: 217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.55 : 229.01 = 144.63 : x
  2. Step 2: Convert to fraction form
    152.55/229.01 = 144.63/x
  3. Step 3: Cross multiply
    152.55x = 229.01 × 144.63
  4. Step 4: Simplify right side
    152.55x = 33,120.99
  5. Step 5: Solve for x
    x = 33,120.99/152.55
  6. Step 6: Final answer
    x = 217.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.