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Finding the Fourth Proportional to 366.57, 505.17 and 283.50

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Solution

The fourth proportional to 366.57, 505.17 and 283.50 is: 390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.57 : 505.17 = 283.50 : x
  2. Step 2: Convert to fraction form
    366.57/505.17 = 283.50/x
  3. Step 3: Cross multiply
    366.57x = 505.17 × 283.50
  4. Step 4: Simplify right side
    366.57x = 143,215.70
  5. Step 5: Solve for x
    x = 143,215.70/366.57
  6. Step 6: Final answer
    x = 390.69

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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.