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Finding the Fourth Proportional to 366.58, 505.82 and 348.12

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Solution

The fourth proportional to 366.58, 505.82 and 348.12 is: 480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.58 : 505.82 = 348.12 : x
  2. Step 2: Convert to fraction form
    366.58/505.82 = 348.12/x
  3. Step 3: Cross multiply
    366.58x = 505.82 × 348.12
  4. Step 4: Simplify right side
    366.58x = 176,086.06
  5. Step 5: Solve for x
    x = 176,086.06/366.58
  6. Step 6: Final answer
    x = 480.35

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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.