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Finding the Fourth Proportional to 446.17, 615.85 and 259.71

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Solution

The fourth proportional to 446.17, 615.85 and 259.71 is: 358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.17 : 615.85 = 259.71 : x
  2. Step 2: Convert to fraction form
    446.17/615.85 = 259.71/x
  3. Step 3: Cross multiply
    446.17x = 615.85 × 259.71
  4. Step 4: Simplify right side
    446.17x = 159,939.32
  5. Step 5: Solve for x
    x = 159,939.32/446.17
  6. Step 6: Final answer
    x = 358.47

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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.