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Finding the Fourth Proportional to 546.50, 753.40 and 366.95

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Solution

The fourth proportional to 546.50, 753.40 and 366.95 is: 505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.50 : 753.40 = 366.95 : x
  2. Step 2: Convert to fraction form
    546.50/753.40 = 366.95/x
  3. Step 3: Cross multiply
    546.50x = 753.40 × 366.95
  4. Step 4: Simplify right side
    546.50x = 276,460.13
  5. Step 5: Solve for x
    x = 276,460.13/546.50
  6. Step 6: Final answer
    x = 505.87

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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.