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Finding the Fourth Proportional to 385, 531.42 and 260.58

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Solution

The fourth proportional to 385, 531.42 and 260.58 is: 359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385 : 531.42 = 260.58 : x
  2. Step 2: Convert to fraction form
    385/531.42 = 260.58/x
  3. Step 3: Cross multiply
    385x = 531.42 × 260.58
  4. Step 4: Simplify right side
    385x = 138,477.42
  5. Step 5: Solve for x
    x = 138,477.42/385
  6. Step 6: Final answer
    x = 359.68

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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.