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Finding the Fourth Proportional to 397.59, 546.84 and 386.06

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Solution

The fourth proportional to 397.59, 546.84 and 386.06 is: 530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.59 : 546.84 = 386.06 : x
  2. Step 2: Convert to fraction form
    397.59/546.84 = 386.06/x
  3. Step 3: Cross multiply
    397.59x = 546.84 × 386.06
  4. Step 4: Simplify right side
    397.59x = 211,110.32
  5. Step 5: Solve for x
    x = 211,110.32/397.59
  6. Step 6: Final answer
    x = 530.97

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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.