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Finding the Fourth Proportional to 278.51, 416.25 and 256.62

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Solution

The fourth proportional to 278.51, 416.25 and 256.62 is: 383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.51 : 416.25 = 256.62 : x
  2. Step 2: Convert to fraction form
    278.51/416.25 = 256.62/x
  3. Step 3: Cross multiply
    278.51x = 416.25 × 256.62
  4. Step 4: Simplify right side
    278.51x = 106,818.08
  5. Step 5: Solve for x
    x = 106,818.08/278.51
  6. Step 6: Final answer
    x = 383.54

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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.