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Finding the Fourth Proportional to 362.59, 542.61 and 260.09

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Solution

The fourth proportional to 362.59, 542.61 and 260.09 is: 389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.59 : 542.61 = 260.09 : x
  2. Step 2: Convert to fraction form
    362.59/542.61 = 260.09/x
  3. Step 3: Cross multiply
    362.59x = 542.61 × 260.09
  4. Step 4: Simplify right side
    362.59x = 141,124.72
  5. Step 5: Solve for x
    x = 141,124.72/362.59
  6. Step 6: Final answer
    x = 389.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.