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Finding the Fourth Proportional to 398.23, 548.35 and 315.07

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Solution

The fourth proportional to 398.23, 548.35 and 315.07 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.23 : 548.35 = 315.07 : x
  2. Step 2: Convert to fraction form
    398.23/548.35 = 315.07/x
  3. Step 3: Cross multiply
    398.23x = 548.35 × 315.07
  4. Step 4: Simplify right side
    398.23x = 172,768.63
  5. Step 5: Solve for x
    x = 172,768.63/398.23
  6. Step 6: Final answer
    x = 433.84

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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.