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Finding the Fourth Proportional to 261.54, 390.24 and 246.06

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Solution

The fourth proportional to 261.54, 390.24 and 246.06 is: 367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.54 : 390.24 = 246.06 : x
  2. Step 2: Convert to fraction form
    261.54/390.24 = 246.06/x
  3. Step 3: Cross multiply
    261.54x = 390.24 × 246.06
  4. Step 4: Simplify right side
    261.54x = 96,022.45
  5. Step 5: Solve for x
    x = 96,022.45/261.54
  6. Step 6: Final answer
    x = 367.14

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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.