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Finding the Fourth Proportional to 365.97, 546.98 and 336.78

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Solution

The fourth proportional to 365.97, 546.98 and 336.78 is: 503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.97 : 546.98 = 336.78 : x
  2. Step 2: Convert to fraction form
    365.97/546.98 = 336.78/x
  3. Step 3: Cross multiply
    365.97x = 546.98 × 336.78
  4. Step 4: Simplify right side
    365.97x = 184,210.24
  5. Step 5: Solve for x
    x = 184,210.24/365.97
  6. Step 6: Final answer
    x = 503.35

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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.