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Finding the Fourth Proportional to 366.32, 505.76 and 242.19

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Solution

The fourth proportional to 366.32, 505.76 and 242.19 is: 334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.32 : 505.76 = 242.19 : x
  2. Step 2: Convert to fraction form
    366.32/505.76 = 242.19/x
  3. Step 3: Cross multiply
    366.32x = 505.76 × 242.19
  4. Step 4: Simplify right side
    366.32x = 122,488.80
  5. Step 5: Solve for x
    x = 122,488.80/366.32
  6. Step 6: Final answer
    x = 334.37

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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.