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Finding the Fourth Proportional to 369.60, 509.91 and 245.19

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Solution

The fourth proportional to 369.60, 509.91 and 245.19 is: 338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 509.91 = 245.19 : x
  2. Step 2: Convert to fraction form
    369.60/509.91 = 245.19/x
  3. Step 3: Cross multiply
    369.60x = 509.91 × 245.19
  4. Step 4: Simplify right side
    369.60x = 125,024.83
  5. Step 5: Solve for x
    x = 125,024.83/369.60
  6. Step 6: Final answer
    x = 338.27

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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.