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Finding the Fourth Proportional to 145.53, 199.74 and 129.63

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Solution

The fourth proportional to 145.53, 199.74 and 129.63 is: 177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.53 : 199.74 = 129.63 : x
  2. Step 2: Convert to fraction form
    145.53/199.74 = 129.63/x
  3. Step 3: Cross multiply
    145.53x = 199.74 × 129.63
  4. Step 4: Simplify right side
    145.53x = 25,892.30
  5. Step 5: Solve for x
    x = 25,892.30/145.53
  6. Step 6: Final answer
    x = 177.92

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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.