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Finding the Fourth Proportional to 473.81, 708.65 and 278.34

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Solution

The fourth proportional to 473.81, 708.65 and 278.34 is: 416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.81 : 708.65 = 278.34 : x
  2. Step 2: Convert to fraction form
    473.81/708.65 = 278.34/x
  3. Step 3: Cross multiply
    473.81x = 708.65 × 278.34
  4. Step 4: Simplify right side
    473.81x = 197,246.34
  5. Step 5: Solve for x
    x = 197,246.34/473.81
  6. Step 6: Final answer
    x = 416.30

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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.