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Finding the Fourth Proportional to 385.82, 532.39 and 228.51

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Solution

The fourth proportional to 385.82, 532.39 and 228.51 is: 315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.82 : 532.39 = 228.51 : x
  2. Step 2: Convert to fraction form
    385.82/532.39 = 228.51/x
  3. Step 3: Cross multiply
    385.82x = 532.39 × 228.51
  4. Step 4: Simplify right side
    385.82x = 121,656.44
  5. Step 5: Solve for x
    x = 121,656.44/385.82
  6. Step 6: Final answer
    x = 315.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.