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Finding the Fourth Proportional to 384.15, 573.42 and 351.69

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Solution

The fourth proportional to 384.15, 573.42 and 351.69 is: 524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.15 : 573.42 = 351.69 : x
  2. Step 2: Convert to fraction form
    384.15/573.42 = 351.69/x
  3. Step 3: Cross multiply
    384.15x = 573.42 × 351.69
  4. Step 4: Simplify right side
    384.15x = 201,666.08
  5. Step 5: Solve for x
    x = 201,666.08/384.15
  6. Step 6: Final answer
    x = 524.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.