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Finding the Fourth Proportional to 173.40, 238.13 and 145.72

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Solution

The fourth proportional to 173.40, 238.13 and 145.72 is: 200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.40 : 238.13 = 145.72 : x
  2. Step 2: Convert to fraction form
    173.40/238.13 = 145.72/x
  3. Step 3: Cross multiply
    173.40x = 238.13 × 145.72
  4. Step 4: Simplify right side
    173.40x = 34,700.30
  5. Step 5: Solve for x
    x = 34,700.30/173.40
  6. Step 6: Final answer
    x = 200.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.