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Finding the Fourth Proportional to 305.34, 459.61 and 214.66

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Solution

The fourth proportional to 305.34, 459.61 and 214.66 is: 323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.34 : 459.61 = 214.66 : x
  2. Step 2: Convert to fraction form
    305.34/459.61 = 214.66/x
  3. Step 3: Cross multiply
    305.34x = 459.61 × 214.66
  4. Step 4: Simplify right side
    305.34x = 98,659.88
  5. Step 5: Solve for x
    x = 98,659.88/305.34
  6. Step 6: Final answer
    x = 323.11

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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.