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Finding the Fourth Proportional to 390.31, 538.64 and 259.22

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Solution

The fourth proportional to 390.31, 538.64 and 259.22 is: 357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.31 : 538.64 = 259.22 : x
  2. Step 2: Convert to fraction form
    390.31/538.64 = 259.22/x
  3. Step 3: Cross multiply
    390.31x = 538.64 × 259.22
  4. Step 4: Simplify right side
    390.31x = 139,626.26
  5. Step 5: Solve for x
    x = 139,626.26/390.31
  6. Step 6: Final answer
    x = 357.73

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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.