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Finding the Fourth Proportional to 305.87, 458.93 and 113.45

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Solution

The fourth proportional to 305.87, 458.93 and 113.45 is: 170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.87 : 458.93 = 113.45 : x
  2. Step 2: Convert to fraction form
    305.87/458.93 = 113.45/x
  3. Step 3: Cross multiply
    305.87x = 458.93 × 113.45
  4. Step 4: Simplify right side
    305.87x = 52,062.75
  5. Step 5: Solve for x
    x = 52,062.75/305.87
  6. Step 6: Final answer
    x = 170.21

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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.