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Finding the Fourth Proportional to 305.64, 455.52 and 296.76

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Solution

The fourth proportional to 305.64, 455.52 and 296.76 is: 442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.64 : 455.52 = 296.76 : x
  2. Step 2: Convert to fraction form
    305.64/455.52 = 296.76/x
  3. Step 3: Cross multiply
    305.64x = 455.52 × 296.76
  4. Step 4: Simplify right side
    305.64x = 135,180.12
  5. Step 5: Solve for x
    x = 135,180.12/305.64
  6. Step 6: Final answer
    x = 442.29

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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.