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Finding the Fourth Proportional to 474.11, 709.88 and 278.82

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Solution

The fourth proportional to 474.11, 709.88 and 278.82 is: 417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.11 : 709.88 = 278.82 : x
  2. Step 2: Convert to fraction form
    474.11/709.88 = 278.82/x
  3. Step 3: Cross multiply
    474.11x = 709.88 × 278.82
  4. Step 4: Simplify right side
    474.11x = 197,927.35
  5. Step 5: Solve for x
    x = 197,927.35/474.11
  6. Step 6: Final answer
    x = 417.48

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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.