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Finding the Fourth Proportional to 288.82, 427.18 and 288.82

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Solution

The fourth proportional to 288.82, 427.18 and 288.82 is: 427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.82 : 427.18 = 288.82 : x
  2. Step 2: Convert to fraction form
    288.82/427.18 = 288.82/x
  3. Step 3: Cross multiply
    288.82x = 427.18 × 288.82
  4. Step 4: Simplify right side
    288.82x = 123,378.13
  5. Step 5: Solve for x
    x = 123,378.13/288.82
  6. Step 6: Final answer
    x = 427.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.