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Finding the Fourth Proportional to 305.31, 455.47 and 296.94

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Solution

The fourth proportional to 305.31, 455.47 and 296.94 is: 442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.31 : 455.47 = 296.94 : x
  2. Step 2: Convert to fraction form
    305.31/455.47 = 296.94/x
  3. Step 3: Cross multiply
    305.31x = 455.47 × 296.94
  4. Step 4: Simplify right side
    305.31x = 135,247.26
  5. Step 5: Solve for x
    x = 135,247.26/305.31
  6. Step 6: Final answer
    x = 442.98

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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.