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Finding the Fourth Proportional to 305.40, 457.02 and 209.28

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Solution

The fourth proportional to 305.40, 457.02 and 209.28 is: 313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.40 : 457.02 = 209.28 : x
  2. Step 2: Convert to fraction form
    305.40/457.02 = 209.28/x
  3. Step 3: Cross multiply
    305.40x = 457.02 × 209.28
  4. Step 4: Simplify right side
    305.40x = 95,645.15
  5. Step 5: Solve for x
    x = 95,645.15/305.40
  6. Step 6: Final answer
    x = 313.18

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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.