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Finding the Fourth Proportional to 397.23, 546.98 and 314.07

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Solution

The fourth proportional to 397.23, 546.98 and 314.07 is: 432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.23 : 546.98 = 314.07 : x
  2. Step 2: Convert to fraction form
    397.23/546.98 = 314.07/x
  3. Step 3: Cross multiply
    397.23x = 546.98 × 314.07
  4. Step 4: Simplify right side
    397.23x = 171,788.44
  5. Step 5: Solve for x
    x = 171,788.44/397.23
  6. Step 6: Final answer
    x = 432.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.