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Finding the Fourth Proportional to 248.16, 340.14 and 235.20

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Solution

The fourth proportional to 248.16, 340.14 and 235.20 is: 322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.16 : 340.14 = 235.20 : x
  2. Step 2: Convert to fraction form
    248.16/340.14 = 235.20/x
  3. Step 3: Cross multiply
    248.16x = 340.14 × 235.20
  4. Step 4: Simplify right side
    248.16x = 80,000.93
  5. Step 5: Solve for x
    x = 80,000.93/248.16
  6. Step 6: Final answer
    x = 322.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.