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Finding the Fourth Proportional to 819, 1,228.64 and 242.01

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Solution

The fourth proportional to 819, 1,228.64 and 242.01 is: 363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    819 : 1,228.64 = 242.01 : x
  2. Step 2: Convert to fraction form
    819/1,228.64 = 242.01/x
  3. Step 3: Cross multiply
    819x = 1,228.64 × 242.01
  4. Step 4: Simplify right side
    819x = 297,341.96
  5. Step 5: Solve for x
    x = 297,341.96/819
  6. Step 6: Final answer
    x = 363.05

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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.