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Finding the Fourth Proportional to 386.24, 578.72 and 169.28

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Solution

The fourth proportional to 386.24, 578.72 and 169.28 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.24 : 578.72 = 169.28 : x
  2. Step 2: Convert to fraction form
    386.24/578.72 = 169.28/x
  3. Step 3: Cross multiply
    386.24x = 578.72 × 169.28
  4. Step 4: Simplify right side
    386.24x = 97,965.72
  5. Step 5: Solve for x
    x = 97,965.72/386.24
  6. Step 6: Final answer
    x = 253.64

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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.