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Finding the Fourth Proportional to 305.91, 419.58 and 284.04

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Solution

The fourth proportional to 305.91, 419.58 and 284.04 is: 389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.91 : 419.58 = 284.04 : x
  2. Step 2: Convert to fraction form
    305.91/419.58 = 284.04/x
  3. Step 3: Cross multiply
    305.91x = 419.58 × 284.04
  4. Step 4: Simplify right side
    305.91x = 119,177.50
  5. Step 5: Solve for x
    x = 119,177.50/305.91
  6. Step 6: Final answer
    x = 389.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.