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Finding the Fourth Proportional to 278.84, 420.37 and 263.95

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Solution

The fourth proportional to 278.84, 420.37 and 263.95 is: 397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 420.37 = 263.95 : x
  2. Step 2: Convert to fraction form
    278.84/420.37 = 263.95/x
  3. Step 3: Cross multiply
    278.84x = 420.37 × 263.95
  4. Step 4: Simplify right side
    278.84x = 110,955.34
  5. Step 5: Solve for x
    x = 110,955.34/278.84
  6. Step 6: Final answer
    x = 397.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.