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Finding the Fourth Proportional to 472.12, 707.64 and 240.64

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Solution

The fourth proportional to 472.12, 707.64 and 240.64 is: 360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.12 : 707.64 = 240.64 : x
  2. Step 2: Convert to fraction form
    472.12/707.64 = 240.64/x
  3. Step 3: Cross multiply
    472.12x = 707.64 × 240.64
  4. Step 4: Simplify right side
    472.12x = 170,286.49
  5. Step 5: Solve for x
    x = 170,286.49/472.12
  6. Step 6: Final answer
    x = 360.68

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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.