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Finding the Fourth Proportional to 385.17, 529.57 and 345.55

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Solution

The fourth proportional to 385.17, 529.57 and 345.55 is: 475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.17 : 529.57 = 345.55 : x
  2. Step 2: Convert to fraction form
    385.17/529.57 = 345.55/x
  3. Step 3: Cross multiply
    385.17x = 529.57 × 345.55
  4. Step 4: Simplify right side
    385.17x = 182,992.91
  5. Step 5: Solve for x
    x = 182,992.91/385.17
  6. Step 6: Final answer
    x = 475.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.