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Finding the Fourth Proportional to 445.23, 614.39 and 258.72

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Solution

The fourth proportional to 445.23, 614.39 and 258.72 is: 357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.23 : 614.39 = 258.72 : x
  2. Step 2: Convert to fraction form
    445.23/614.39 = 258.72/x
  3. Step 3: Cross multiply
    445.23x = 614.39 × 258.72
  4. Step 4: Simplify right side
    445.23x = 158,955.63
  5. Step 5: Solve for x
    x = 158,955.63/445.23
  6. Step 6: Final answer
    x = 357.02

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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.