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Finding the Fourth Proportional to 260.24, 392.16 and 215.60

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Solution

The fourth proportional to 260.24, 392.16 and 215.60 is: 324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.24 : 392.16 = 215.60 : x
  2. Step 2: Convert to fraction form
    260.24/392.16 = 215.60/x
  3. Step 3: Cross multiply
    260.24x = 392.16 × 215.60
  4. Step 4: Simplify right side
    260.24x = 84,549.70
  5. Step 5: Solve for x
    x = 84,549.70/260.24
  6. Step 6: Final answer
    x = 324.89

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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.