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Finding the Fourth Proportional to 390.26, 537.90 and 259.04

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Solution

The fourth proportional to 390.26, 537.90 and 259.04 is: 357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.26 : 537.90 = 259.04 : x
  2. Step 2: Convert to fraction form
    390.26/537.90 = 259.04/x
  3. Step 3: Cross multiply
    390.26x = 537.90 × 259.04
  4. Step 4: Simplify right side
    390.26x = 139,337.62
  5. Step 5: Solve for x
    x = 139,337.62/390.26
  6. Step 6: Final answer
    x = 357.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.