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Finding the Fourth Proportional to 472.24, 651.84 and 306.91

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Solution

The fourth proportional to 472.24, 651.84 and 306.91 is: 423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.24 : 651.84 = 306.91 : x
  2. Step 2: Convert to fraction form
    472.24/651.84 = 306.91/x
  3. Step 3: Cross multiply
    472.24x = 651.84 × 306.91
  4. Step 4: Simplify right side
    472.24x = 200,056.21
  5. Step 5: Solve for x
    x = 200,056.21/472.24
  6. Step 6: Final answer
    x = 423.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.