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Finding the Fourth Proportional to 650.24, 975.36 and 308.16

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Solution

The fourth proportional to 650.24, 975.36 and 308.16 is: 462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.24 : 975.36 = 308.16 : x
  2. Step 2: Convert to fraction form
    650.24/975.36 = 308.16/x
  3. Step 3: Cross multiply
    650.24x = 975.36 × 308.16
  4. Step 4: Simplify right side
    650.24x = 300,566.94
  5. Step 5: Solve for x
    x = 300,566.94/650.24
  6. Step 6: Final answer
    x = 462.24

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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.