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Finding the Fourth Proportional to 365.66, 503.19 and 354.98

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Solution

The fourth proportional to 365.66, 503.19 and 354.98 is: 488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.66 : 503.19 = 354.98 : x
  2. Step 2: Convert to fraction form
    365.66/503.19 = 354.98/x
  3. Step 3: Cross multiply
    365.66x = 503.19 × 354.98
  4. Step 4: Simplify right side
    365.66x = 178,622.39
  5. Step 5: Solve for x
    x = 178,622.39/365.66
  6. Step 6: Final answer
    x = 488.49

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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.