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Finding the Fourth Proportional to 470.26, 705.12 and 278.02

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Solution

The fourth proportional to 470.26, 705.12 and 278.02 is: 416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.26 : 705.12 = 278.02 : x
  2. Step 2: Convert to fraction form
    470.26/705.12 = 278.02/x
  3. Step 3: Cross multiply
    470.26x = 705.12 × 278.02
  4. Step 4: Simplify right side
    470.26x = 196,037.46
  5. Step 5: Solve for x
    x = 196,037.46/470.26
  6. Step 6: Final answer
    x = 416.87

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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.