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Finding the Fourth Proportional to 385.24, 575.45 and 276.16

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Solution

The fourth proportional to 385.24, 575.45 and 276.16 is: 412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.24 : 575.45 = 276.16 : x
  2. Step 2: Convert to fraction form
    385.24/575.45 = 276.16/x
  3. Step 3: Cross multiply
    385.24x = 575.45 × 276.16
  4. Step 4: Simplify right side
    385.24x = 158,916.27
  5. Step 5: Solve for x
    x = 158,916.27/385.24
  6. Step 6: Final answer
    x = 412.51

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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.