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Finding the Fourth Proportional to 446.06, 615.62 and 259.59

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Solution

The fourth proportional to 446.06, 615.62 and 259.59 is: 358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.06 : 615.62 = 259.59 : x
  2. Step 2: Convert to fraction form
    446.06/615.62 = 259.59/x
  3. Step 3: Cross multiply
    446.06x = 615.62 × 259.59
  4. Step 4: Simplify right side
    446.06x = 159,807.50
  5. Step 5: Solve for x
    x = 159,807.50/446.06
  6. Step 6: Final answer
    x = 358.27

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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.