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Finding the Fourth Proportional to 284.82, 427.59 and 242.34

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Solution

The fourth proportional to 284.82, 427.59 and 242.34 is: 363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.82 : 427.59 = 242.34 : x
  2. Step 2: Convert to fraction form
    284.82/427.59 = 242.34/x
  3. Step 3: Cross multiply
    284.82x = 427.59 × 242.34
  4. Step 4: Simplify right side
    284.82x = 103,622.16
  5. Step 5: Solve for x
    x = 103,622.16/284.82
  6. Step 6: Final answer
    x = 363.82

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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.