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Finding the Fourth Proportional to 431.61, 649.95 and 310.72

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Solution

The fourth proportional to 431.61, 649.95 and 310.72 is: 467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.61 : 649.95 = 310.72 : x
  2. Step 2: Convert to fraction form
    431.61/649.95 = 310.72/x
  3. Step 3: Cross multiply
    431.61x = 649.95 × 310.72
  4. Step 4: Simplify right side
    431.61x = 201,947.66
  5. Step 5: Solve for x
    x = 201,947.66/431.61
  6. Step 6: Final answer
    x = 467.90

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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.