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Finding the Fourth Proportional to 115.83, 175.23 and 115.02

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Solution

The fourth proportional to 115.83, 175.23 and 115.02 is: 174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.83 : 175.23 = 115.02 : x
  2. Step 2: Convert to fraction form
    115.83/175.23 = 115.02/x
  3. Step 3: Cross multiply
    115.83x = 175.23 × 115.02
  4. Step 4: Simplify right side
    115.83x = 20,154.95
  5. Step 5: Solve for x
    x = 20,154.95/115.83
  6. Step 6: Final answer
    x = 174.00

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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.