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Finding the Fourth Proportional to 242.99, 363.56 and 204.45

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Solution

The fourth proportional to 242.99, 363.56 and 204.45 is: 305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.99 : 363.56 = 204.45 : x
  2. Step 2: Convert to fraction form
    242.99/363.56 = 204.45/x
  3. Step 3: Cross multiply
    242.99x = 363.56 × 204.45
  4. Step 4: Simplify right side
    242.99x = 74,328.82
  5. Step 5: Solve for x
    x = 74,328.82/242.99
  6. Step 6: Final answer
    x = 305.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.