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Finding the Fourth Proportional to 385.39, 532.83 and 297.16

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Solution

The fourth proportional to 385.39, 532.83 and 297.16 is: 410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.39 : 532.83 = 297.16 : x
  2. Step 2: Convert to fraction form
    385.39/532.83 = 297.16/x
  3. Step 3: Cross multiply
    385.39x = 532.83 × 297.16
  4. Step 4: Simplify right side
    385.39x = 158,334.28
  5. Step 5: Solve for x
    x = 158,334.28/385.39
  6. Step 6: Final answer
    x = 410.84

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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.