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Finding the Fourth Proportional to 470.52, 705.72 and 141.48

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Solution

The fourth proportional to 470.52, 705.72 and 141.48 is: 212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.52 : 705.72 = 141.48 : x
  2. Step 2: Convert to fraction form
    470.52/705.72 = 141.48/x
  3. Step 3: Cross multiply
    470.52x = 705.72 × 141.48
  4. Step 4: Simplify right side
    470.52x = 99,845.27
  5. Step 5: Solve for x
    x = 99,845.27/470.52
  6. Step 6: Final answer
    x = 212.20

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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.