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Finding the Fourth Proportional to 152.03, 229.21 and 141.59

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Solution

The fourth proportional to 152.03, 229.21 and 141.59 is: 213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.03 : 229.21 = 141.59 : x
  2. Step 2: Convert to fraction form
    152.03/229.21 = 141.59/x
  3. Step 3: Cross multiply
    152.03x = 229.21 × 141.59
  4. Step 4: Simplify right side
    152.03x = 32,453.84
  5. Step 5: Solve for x
    x = 32,453.84/152.03
  6. Step 6: Final answer
    x = 213.47

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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.