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Finding the Fourth Proportional to 385.48, 576.24 and 293.68

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Solution

The fourth proportional to 385.48, 576.24 and 293.68 is: 439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.48 : 576.24 = 293.68 : x
  2. Step 2: Convert to fraction form
    385.48/576.24 = 293.68/x
  3. Step 3: Cross multiply
    385.48x = 576.24 × 293.68
  4. Step 4: Simplify right side
    385.48x = 169,230.16
  5. Step 5: Solve for x
    x = 169,230.16/385.48
  6. Step 6: Final answer
    x = 439.01

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Why These Related Problems?

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