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Finding the Fourth Proportional to 365.64, 549 and 354.84

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Solution

The fourth proportional to 365.64, 549 and 354.84 is: 532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.64 : 549 = 354.84 : x
  2. Step 2: Convert to fraction form
    365.64/549 = 354.84/x
  3. Step 3: Cross multiply
    365.64x = 549 × 354.84
  4. Step 4: Simplify right side
    365.64x = 194,807.16
  5. Step 5: Solve for x
    x = 194,807.16/365.64
  6. Step 6: Final answer
    x = 532.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.