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Finding the Fourth Proportional to 495, 742.82 and 278.76

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Solution

The fourth proportional to 495, 742.82 and 278.76 is: 418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    495 : 742.82 = 278.76 : x
  2. Step 2: Convert to fraction form
    495/742.82 = 278.76/x
  3. Step 3: Cross multiply
    495x = 742.82 × 278.76
  4. Step 4: Simplify right side
    495x = 207,068.50
  5. Step 5: Solve for x
    x = 207,068.50/495
  6. Step 6: Final answer
    x = 418.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.