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Finding the Fourth Proportional to 385.16, 573.01 and 362.12

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Solution

The fourth proportional to 385.16, 573.01 and 362.12 is: 538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.16 : 573.01 = 362.12 : x
  2. Step 2: Convert to fraction form
    385.16/573.01 = 362.12/x
  3. Step 3: Cross multiply
    385.16x = 573.01 × 362.12
  4. Step 4: Simplify right side
    385.16x = 207,498.38
  5. Step 5: Solve for x
    x = 207,498.38/385.16
  6. Step 6: Final answer
    x = 538.73

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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.