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Finding the Fourth Proportional to 279.76, 421.88 and 277.93

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Solution

The fourth proportional to 279.76, 421.88 and 277.93 is: 419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.76 : 421.88 = 277.93 : x
  2. Step 2: Convert to fraction form
    279.76/421.88 = 277.93/x
  3. Step 3: Cross multiply
    279.76x = 421.88 × 277.93
  4. Step 4: Simplify right side
    279.76x = 117,253.11
  5. Step 5: Solve for x
    x = 117,253.11/279.76
  6. Step 6: Final answer
    x = 419.13

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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.