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Finding the Fourth Proportional to 305.34, 455.48 and 286.71

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Solution

The fourth proportional to 305.34, 455.48 and 286.71 is: 427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.34 : 455.48 = 286.71 : x
  2. Step 2: Convert to fraction form
    305.34/455.48 = 286.71/x
  3. Step 3: Cross multiply
    305.34x = 455.48 × 286.71
  4. Step 4: Simplify right side
    305.34x = 130,589.24
  5. Step 5: Solve for x
    x = 130,589.24/305.34
  6. Step 6: Final answer
    x = 427.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.