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Finding the Fourth Proportional to 278.64, 415.74 and 260.16

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Solution

The fourth proportional to 278.64, 415.74 and 260.16 is: 388.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.64 : 415.74 = 260.16 : x
  2. Step 2: Convert to fraction form
    278.64/415.74 = 260.16/x
  3. Step 3: Cross multiply
    278.64x = 415.74 × 260.16
  4. Step 4: Simplify right side
    278.64x = 108,158.92
  5. Step 5: Solve for x
    x = 108,158.92/278.64
  6. Step 6: Final answer
    x = 388.17

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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.