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Finding the Fourth Proportional to 385.51, 532 and 219.74

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Solution

The fourth proportional to 385.51, 532 and 219.74 is: 303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.51 : 532 = 219.74 : x
  2. Step 2: Convert to fraction form
    385.51/532 = 219.74/x
  3. Step 3: Cross multiply
    385.51x = 532 × 219.74
  4. Step 4: Simplify right side
    385.51x = 116,899.02
  5. Step 5: Solve for x
    x = 116,899.02/385.51
  6. Step 6: Final answer
    x = 303.23

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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.