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Finding the Fourth Proportional to 259.25, 390.66 and 214.60

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Solution

The fourth proportional to 259.25, 390.66 and 214.60 is: 323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.25 : 390.66 = 214.60 : x
  2. Step 2: Convert to fraction form
    259.25/390.66 = 214.60/x
  3. Step 3: Cross multiply
    259.25x = 390.66 × 214.60
  4. Step 4: Simplify right side
    259.25x = 83,835.64
  5. Step 5: Solve for x
    x = 83,835.64/259.25
  6. Step 6: Final answer
    x = 323.38

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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.