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Finding the Fourth Proportional to 385.47, 578.30 and 169.07

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Solution

The fourth proportional to 385.47, 578.30 and 169.07 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.47 : 578.30 = 169.07 : x
  2. Step 2: Convert to fraction form
    385.47/578.30 = 169.07/x
  3. Step 3: Cross multiply
    385.47x = 578.30 × 169.07
  4. Step 4: Simplify right side
    385.47x = 97,769.44
  5. Step 5: Solve for x
    x = 97,769.44/385.47
  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.