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Finding the Fourth Proportional to 263.40, 393.60 and 215.16

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Solution

The fourth proportional to 263.40, 393.60 and 215.16 is: 321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.40 : 393.60 = 215.16 : x
  2. Step 2: Convert to fraction form
    263.40/393.60 = 215.16/x
  3. Step 3: Cross multiply
    263.40x = 393.60 × 215.16
  4. Step 4: Simplify right side
    263.40x = 84,686.98
  5. Step 5: Solve for x
    x = 84,686.98/263.40
  6. Step 6: Final answer
    x = 321.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.