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Finding the Fourth Proportional to 305.04, 457.80 and 280.56

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Solution

The fourth proportional to 305.04, 457.80 and 280.56 is: 421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.04 : 457.80 = 280.56 : x
  2. Step 2: Convert to fraction form
    305.04/457.80 = 280.56/x
  3. Step 3: Cross multiply
    305.04x = 457.80 × 280.56
  4. Step 4: Simplify right side
    305.04x = 128,440.37
  5. Step 5: Solve for x
    x = 128,440.37/305.04
  6. Step 6: Final answer
    x = 421.06

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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.