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Finding the Fourth Proportional to 398.21, 549.23 and 384.84

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Solution

The fourth proportional to 398.21, 549.23 and 384.84 is: 530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.21 : 549.23 = 384.84 : x
  2. Step 2: Convert to fraction form
    398.21/549.23 = 384.84/x
  3. Step 3: Cross multiply
    398.21x = 549.23 × 384.84
  4. Step 4: Simplify right side
    398.21x = 211,363.75
  5. Step 5: Solve for x
    x = 211,363.75/398.21
  6. Step 6: Final answer
    x = 530.79

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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.