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Finding the Fourth Proportional to 402.96, 556.40 and 278.76

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Solution

The fourth proportional to 402.96, 556.40 and 278.76 is: 384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.96 : 556.40 = 278.76 : x
  2. Step 2: Convert to fraction form
    402.96/556.40 = 278.76/x
  3. Step 3: Cross multiply
    402.96x = 556.40 × 278.76
  4. Step 4: Simplify right side
    402.96x = 155,102.06
  5. Step 5: Solve for x
    x = 155,102.06/402.96
  6. Step 6: Final answer
    x = 384.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.