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Finding the Fourth Proportional to 384.62, 530.82 and 361.16

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Solution

The fourth proportional to 384.62, 530.82 and 361.16 is: 498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.62 : 530.82 = 361.16 : x
  2. Step 2: Convert to fraction form
    384.62/530.82 = 361.16/x
  3. Step 3: Cross multiply
    384.62x = 530.82 × 361.16
  4. Step 4: Simplify right side
    384.62x = 191,708.30
  5. Step 5: Solve for x
    x = 191,708.30/384.62
  6. Step 6: Final answer
    x = 498.44

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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.