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Finding the Fourth Proportional to 445.15, 614.31 and 258.58

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Solution

The fourth proportional to 445.15, 614.31 and 258.58 is: 356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.15 : 614.31 = 258.58 : x
  2. Step 2: Convert to fraction form
    445.15/614.31 = 258.58/x
  3. Step 3: Cross multiply
    445.15x = 614.31 × 258.58
  4. Step 4: Simplify right side
    445.15x = 158,846.08
  5. Step 5: Solve for x
    x = 158,846.08/445.15
  6. Step 6: Final answer
    x = 356.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.