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Finding the Fourth Proportional to 472.32, 651.84 and 297.68

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Solution

The fourth proportional to 472.32, 651.84 and 297.68 is: 410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.32 : 651.84 = 297.68 : x
  2. Step 2: Convert to fraction form
    472.32/651.84 = 297.68/x
  3. Step 3: Cross multiply
    472.32x = 651.84 × 297.68
  4. Step 4: Simplify right side
    472.32x = 194,039.73
  5. Step 5: Solve for x
    x = 194,039.73/472.32
  6. Step 6: Final answer
    x = 410.82

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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.