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Finding the Fourth Proportional to 434.08, 650.24 and 318.76

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Solution

The fourth proportional to 434.08, 650.24 and 318.76 is: 477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.08 : 650.24 = 318.76 : x
  2. Step 2: Convert to fraction form
    434.08/650.24 = 318.76/x
  3. Step 3: Cross multiply
    434.08x = 650.24 × 318.76
  4. Step 4: Simplify right side
    434.08x = 207,270.50
  5. Step 5: Solve for x
    x = 207,270.50/434.08
  6. Step 6: Final answer
    x = 477.49

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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.