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Finding the Fourth Proportional to 445.35, 614.38 and 258.70

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Solution

The fourth proportional to 445.35, 614.38 and 258.70 is: 356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.35 : 614.38 = 258.70 : x
  2. Step 2: Convert to fraction form
    445.35/614.38 = 258.70/x
  3. Step 3: Cross multiply
    445.35x = 614.38 × 258.70
  4. Step 4: Simplify right side
    445.35x = 158,940.11
  5. Step 5: Solve for x
    x = 158,940.11/445.35
  6. Step 6: Final answer
    x = 356.89

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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.