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Finding the Fourth Proportional to 546.47, 818.63 and 258.11

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Solution

The fourth proportional to 546.47, 818.63 and 258.11 is: 386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.47 : 818.63 = 258.11 : x
  2. Step 2: Convert to fraction form
    546.47/818.63 = 258.11/x
  3. Step 3: Cross multiply
    546.47x = 818.63 × 258.11
  4. Step 4: Simplify right side
    546.47x = 211,297.35
  5. Step 5: Solve for x
    x = 211,297.35/546.47
  6. Step 6: Final answer
    x = 386.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.