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Finding the Fourth Proportional to 470.59, 706.19 and 254.32

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Solution

The fourth proportional to 470.59, 706.19 and 254.32 is: 381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.59 : 706.19 = 254.32 : x
  2. Step 2: Convert to fraction form
    470.59/706.19 = 254.32/x
  3. Step 3: Cross multiply
    470.59x = 706.19 × 254.32
  4. Step 4: Simplify right side
    470.59x = 179,598.24
  5. Step 5: Solve for x
    x = 179,598.24/470.59
  6. Step 6: Final answer
    x = 381.64

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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.