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Finding the Fourth Proportional to 278.84, 416.22 and 258.25

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Solution

The fourth proportional to 278.84, 416.22 and 258.25 is: 385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 416.22 = 258.25 : x
  2. Step 2: Convert to fraction form
    278.84/416.22 = 258.25/x
  3. Step 3: Cross multiply
    278.84x = 416.22 × 258.25
  4. Step 4: Simplify right side
    278.84x = 107,488.82
  5. Step 5: Solve for x
    x = 107,488.82/278.84
  6. Step 6: Final answer
    x = 385.49

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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.