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Finding the Fourth Proportional to 365.10, 548.81 and 339.75

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Solution

The fourth proportional to 365.10, 548.81 and 339.75 is: 510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.10 : 548.81 = 339.75 : x
  2. Step 2: Convert to fraction form
    365.10/548.81 = 339.75/x
  3. Step 3: Cross multiply
    365.10x = 548.81 × 339.75
  4. Step 4: Simplify right side
    365.10x = 186,456.50
  5. Step 5: Solve for x
    x = 186,456.50/365.10
  6. Step 6: Final answer
    x = 510.70

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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.