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Finding the Fourth Proportional to 385.68, 578.56 and 97.12

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Solution

The fourth proportional to 385.68, 578.56 and 97.12 is: 145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.68 : 578.56 = 97.12 : x
  2. Step 2: Convert to fraction form
    385.68/578.56 = 97.12/x
  3. Step 3: Cross multiply
    385.68x = 578.56 × 97.12
  4. Step 4: Simplify right side
    385.68x = 56,189.75
  5. Step 5: Solve for x
    x = 56,189.75/385.68
  6. Step 6: Final answer
    x = 145.69

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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.