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Finding the Fourth Proportional to 261.12, 393.54 and 245.46

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Solution

The fourth proportional to 261.12, 393.54 and 245.46 is: 369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.12 : 393.54 = 245.46 : x
  2. Step 2: Convert to fraction form
    261.12/393.54 = 245.46/x
  3. Step 3: Cross multiply
    261.12x = 393.54 × 245.46
  4. Step 4: Simplify right side
    261.12x = 96,598.33
  5. Step 5: Solve for x
    x = 96,598.33/261.12
  6. Step 6: Final answer
    x = 369.94

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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.