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Finding the Fourth Proportional to 398.93, 546.75 and 386.57

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Solution

The fourth proportional to 398.93, 546.75 and 386.57 is: 529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.93 : 546.75 = 386.57 : x
  2. Step 2: Convert to fraction form
    398.93/546.75 = 386.57/x
  3. Step 3: Cross multiply
    398.93x = 546.75 × 386.57
  4. Step 4: Simplify right side
    398.93x = 211,358.51
  5. Step 5: Solve for x
    x = 211,358.51/398.93
  6. Step 6: Final answer
    x = 529.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.