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Finding the Fourth Proportional to 153.99, 229.88 and 142.74

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Solution

The fourth proportional to 153.99, 229.88 and 142.74 is: 213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.99 : 229.88 = 142.74 : x
  2. Step 2: Convert to fraction form
    153.99/229.88 = 142.74/x
  3. Step 3: Cross multiply
    153.99x = 229.88 × 142.74
  4. Step 4: Simplify right side
    153.99x = 32,813.43
  5. Step 5: Solve for x
    x = 32,813.43/153.99
  6. Step 6: Final answer
    x = 213.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.