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Finding the Fourth Proportional to 445.53, 614.73 and 258.98

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Solution

The fourth proportional to 445.53, 614.73 and 258.98 is: 357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.53 : 614.73 = 258.98 : x
  2. Step 2: Convert to fraction form
    445.53/614.73 = 258.98/x
  3. Step 3: Cross multiply
    445.53x = 614.73 × 258.98
  4. Step 4: Simplify right side
    445.53x = 159,199.70
  5. Step 5: Solve for x
    x = 159,199.70/445.53
  6. Step 6: Final answer
    x = 357.33

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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.