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Finding the Fourth Proportional to 305.20, 457.58 and 207.46

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Solution

The fourth proportional to 305.20, 457.58 and 207.46 is: 311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.20 : 457.58 = 207.46 : x
  2. Step 2: Convert to fraction form
    305.20/457.58 = 207.46/x
  3. Step 3: Cross multiply
    305.20x = 457.58 × 207.46
  4. Step 4: Simplify right side
    305.20x = 94,928.92
  5. Step 5: Solve for x
    x = 94,928.92/305.20
  6. Step 6: Final answer
    x = 311.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.