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Finding the Fourth Proportional to 169.68, 253.24 and 128.90

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Solution

The fourth proportional to 169.68, 253.24 and 128.90 is: 192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.68 : 253.24 = 128.90 : x
  2. Step 2: Convert to fraction form
    169.68/253.24 = 128.90/x
  3. Step 3: Cross multiply
    169.68x = 253.24 × 128.90
  4. Step 4: Simplify right side
    169.68x = 32,642.64
  5. Step 5: Solve for x
    x = 32,642.64/169.68
  6. Step 6: Final answer
    x = 192.38

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