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Finding the Fourth Proportional to 384.71, 574.28 and 356.16

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Solution

The fourth proportional to 384.71, 574.28 and 356.16 is: 531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.71 : 574.28 = 356.16 : x
  2. Step 2: Convert to fraction form
    384.71/574.28 = 356.16/x
  3. Step 3: Cross multiply
    384.71x = 574.28 × 356.16
  4. Step 4: Simplify right side
    384.71x = 204,535.56
  5. Step 5: Solve for x
    x = 204,535.56/384.71
  6. Step 6: Final answer
    x = 531.66

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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.