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Finding the Fourth Proportional to 305.59, 455.98 and 276.21

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Solution

The fourth proportional to 305.59, 455.98 and 276.21 is: 412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.59 : 455.98 = 276.21 : x
  2. Step 2: Convert to fraction form
    305.59/455.98 = 276.21/x
  3. Step 3: Cross multiply
    305.59x = 455.98 × 276.21
  4. Step 4: Simplify right side
    305.59x = 125,946.06
  5. Step 5: Solve for x
    x = 125,946.06/305.59
  6. Step 6: Final answer
    x = 412.14

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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.