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Finding the Fourth Proportional to 346.88, 518.10 and 278.54

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Solution

The fourth proportional to 346.88, 518.10 and 278.54 is: 416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.88 : 518.10 = 278.54 : x
  2. Step 2: Convert to fraction form
    346.88/518.10 = 278.54/x
  3. Step 3: Cross multiply
    346.88x = 518.10 × 278.54
  4. Step 4: Simplify right side
    346.88x = 144,309.88
  5. Step 5: Solve for x
    x = 144,309.88/346.88
  6. Step 6: Final answer
    x = 416.02

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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.