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Finding the Fourth Proportional to 384.50, 530.20 and 345.22

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Solution

The fourth proportional to 384.50, 530.20 and 345.22 is: 476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.50 : 530.20 = 345.22 : x
  2. Step 2: Convert to fraction form
    384.50/530.20 = 345.22/x
  3. Step 3: Cross multiply
    384.50x = 530.20 × 345.22
  4. Step 4: Simplify right side
    384.50x = 183,035.64
  5. Step 5: Solve for x
    x = 183,035.64/384.50
  6. Step 6: Final answer
    x = 476.04

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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.