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Finding the Fourth Proportional to 325.56, 491.25 and 312.24

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Solution

The fourth proportional to 325.56, 491.25 and 312.24 is: 471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.56 : 491.25 = 312.24 : x
  2. Step 2: Convert to fraction form
    325.56/491.25 = 312.24/x
  3. Step 3: Cross multiply
    325.56x = 491.25 × 312.24
  4. Step 4: Simplify right side
    325.56x = 153,387.90
  5. Step 5: Solve for x
    x = 153,387.90/325.56
  6. Step 6: Final answer
    x = 471.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.