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Finding the Fourth Proportional to 242.30, 364.74 and 208.81

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Solution

The fourth proportional to 242.30, 364.74 and 208.81 is: 314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.30 : 364.74 = 208.81 : x
  2. Step 2: Convert to fraction form
    242.30/364.74 = 208.81/x
  3. Step 3: Cross multiply
    242.30x = 364.74 × 208.81
  4. Step 4: Simplify right side
    242.30x = 76,161.23
  5. Step 5: Solve for x
    x = 76,161.23/242.30
  6. Step 6: Final answer
    x = 314.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.