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Finding the Fourth Proportional to 153.07, 229.67 and 80.00

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Solution

The fourth proportional to 153.07, 229.67 and 80.00 is: 120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.07 : 229.67 = 80.00 : x
  2. Step 2: Convert to fraction form
    153.07/229.67 = 80.00/x
  3. Step 3: Cross multiply
    153.07x = 229.67 × 80.00
  4. Step 4: Simplify right side
    153.07x = 18,373.11
  5. Step 5: Solve for x
    x = 18,373.11/153.07
  6. Step 6: Final answer
    x = 120.03

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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.