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Finding the Fourth Proportional to 366.29, 505.42 and 242.00

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Solution

The fourth proportional to 366.29, 505.42 and 242.00 is: 333.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.29 : 505.42 = 242.00 : x
  2. Step 2: Convert to fraction form
    366.29/505.42 = 242.00/x
  3. Step 3: Cross multiply
    366.29x = 505.42 × 242.00
  4. Step 4: Simplify right side
    366.29x = 122,308.51
  5. Step 5: Solve for x
    x = 122,308.51/366.29
  6. Step 6: Final answer
    x = 333.92

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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.