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Finding the Fourth Proportional to 309.96, 466.56 and 280.17

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Solution

The fourth proportional to 309.96, 466.56 and 280.17 is: 421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 466.56 = 280.17 : x
  2. Step 2: Convert to fraction form
    309.96/466.56 = 280.17/x
  3. Step 3: Cross multiply
    309.96x = 466.56 × 280.17
  4. Step 4: Simplify right side
    309.96x = 130,716.12
  5. Step 5: Solve for x
    x = 130,716.12/309.96
  6. Step 6: Final answer
    x = 421.72

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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.