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Finding the Fourth Proportional to 366.40, 546.45 and 311.91

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Solution

The fourth proportional to 366.40, 546.45 and 311.91 is: 465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.40 : 546.45 = 311.91 : x
  2. Step 2: Convert to fraction form
    366.40/546.45 = 311.91/x
  3. Step 3: Cross multiply
    366.40x = 546.45 × 311.91
  4. Step 4: Simplify right side
    366.40x = 170,443.22
  5. Step 5: Solve for x
    x = 170,443.22/366.40
  6. Step 6: Final answer
    x = 465.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.