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Finding the Fourth Proportional to 555.51, 832.22 and 312.21

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Solution

The fourth proportional to 555.51, 832.22 and 312.21 is: 467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.51 : 832.22 = 312.21 : x
  2. Step 2: Convert to fraction form
    555.51/832.22 = 312.21/x
  3. Step 3: Cross multiply
    555.51x = 832.22 × 312.21
  4. Step 4: Simplify right side
    555.51x = 259,825.85
  5. Step 5: Solve for x
    x = 259,825.85/555.51
  6. Step 6: Final answer
    x = 467.72

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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.