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Finding the Fourth Proportional to 366.62, 505.83 and 235.70

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Solution

The fourth proportional to 366.62, 505.83 and 235.70 is: 325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.62 : 505.83 = 235.70 : x
  2. Step 2: Convert to fraction form
    366.62/505.83 = 235.70/x
  3. Step 3: Cross multiply
    366.62x = 505.83 × 235.70
  4. Step 4: Simplify right side
    366.62x = 119,225.47
  5. Step 5: Solve for x
    x = 119,225.47/366.62
  6. Step 6: Final answer
    x = 325.20

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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.