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Finding the Fourth Proportional to 261.84, 393.48 and 246.93

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Solution

The fourth proportional to 261.84, 393.48 and 246.93 is: 371.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.84 : 393.48 = 246.93 : x
  2. Step 2: Convert to fraction form
    261.84/393.48 = 246.93/x
  3. Step 3: Cross multiply
    261.84x = 393.48 × 246.93
  4. Step 4: Simplify right side
    261.84x = 97,162.02
  5. Step 5: Solve for x
    x = 97,162.02/261.84
  6. Step 6: Final answer
    x = 371.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.