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Finding the Fourth Proportional to 555.40, 832.29 and 312.00

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Solution

The fourth proportional to 555.40, 832.29 and 312.00 is: 467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.40 : 832.29 = 312.00 : x
  2. Step 2: Convert to fraction form
    555.40/832.29 = 312.00/x
  3. Step 3: Cross multiply
    555.40x = 832.29 × 312.00
  4. Step 4: Simplify right side
    555.40x = 259,670.32
  5. Step 5: Solve for x
    x = 259,670.32/555.40
  6. Step 6: Final answer
    x = 467.54

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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.