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Finding the Fourth Proportional to 365.21, 549.95 and 263.20

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Solution

The fourth proportional to 365.21, 549.95 and 263.20 is: 396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.21 : 549.95 = 263.20 : x
  2. Step 2: Convert to fraction form
    365.21/549.95 = 263.20/x
  3. Step 3: Cross multiply
    365.21x = 549.95 × 263.20
  4. Step 4: Simplify right side
    365.21x = 144,744.10
  5. Step 5: Solve for x
    x = 144,744.10/365.21
  6. Step 6: Final answer
    x = 396.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.