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Finding the Fourth Proportional to 390.42, 586.09 and 274.39

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Solution

The fourth proportional to 390.42, 586.09 and 274.39 is: 411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.42 : 586.09 = 274.39 : x
  2. Step 2: Convert to fraction form
    390.42/586.09 = 274.39/x
  3. Step 3: Cross multiply
    390.42x = 586.09 × 274.39
  4. Step 4: Simplify right side
    390.42x = 160,817.24
  5. Step 5: Solve for x
    x = 160,817.24/390.42
  6. Step 6: Final answer
    x = 411.91

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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.