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Finding the Fourth Proportional to 445.58, 614.94 and 259.06

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Solution

The fourth proportional to 445.58, 614.94 and 259.06 is: 357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.58 : 614.94 = 259.06 : x
  2. Step 2: Convert to fraction form
    445.58/614.94 = 259.06/x
  3. Step 3: Cross multiply
    445.58x = 614.94 × 259.06
  4. Step 4: Simplify right side
    445.58x = 159,303.28
  5. Step 5: Solve for x
    x = 159,303.28/445.58
  6. Step 6: Final answer
    x = 357.52

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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.