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Finding the Fourth Proportional to 470.80, 706 and 197.02

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Solution

The fourth proportional to 470.80, 706 and 197.02 is: 295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.80 : 706 = 197.02 : x
  2. Step 2: Convert to fraction form
    470.80/706 = 197.02/x
  3. Step 3: Cross multiply
    470.80x = 706 × 197.02
  4. Step 4: Simplify right side
    470.80x = 139,096.12
  5. Step 5: Solve for x
    x = 139,096.12/470.80
  6. Step 6: Final answer
    x = 295.45

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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.