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Finding the Fourth Proportional to 305.04, 459.79 and 279.07

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Solution

The fourth proportional to 305.04, 459.79 and 279.07 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.04 : 459.79 = 279.07 : x
  2. Step 2: Convert to fraction form
    305.04/459.79 = 279.07/x
  3. Step 3: Cross multiply
    305.04x = 459.79 × 279.07
  4. Step 4: Simplify right side
    305.04x = 128,311.75
  5. Step 5: Solve for x
    x = 128,311.75/305.04
  6. Step 6: Final answer
    x = 420.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.