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Finding the Fourth Proportional to 409.96, 615.22 and 307.50

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Solution

The fourth proportional to 409.96, 615.22 and 307.50 is: 461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.96 : 615.22 = 307.50 : x
  2. Step 2: Convert to fraction form
    409.96/615.22 = 307.50/x
  3. Step 3: Cross multiply
    409.96x = 615.22 × 307.50
  4. Step 4: Simplify right side
    409.96x = 189,177.94
  5. Step 5: Solve for x
    x = 189,177.94/409.96
  6. Step 6: Final answer
    x = 461.45

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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.