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Finding the Fourth Proportional to 369.64, 509.93 and 245.36

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Solution

The fourth proportional to 369.64, 509.93 and 245.36 is: 338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.64 : 509.93 = 245.36 : x
  2. Step 2: Convert to fraction form
    369.64/509.93 = 245.36/x
  3. Step 3: Cross multiply
    369.64x = 509.93 × 245.36
  4. Step 4: Simplify right side
    369.64x = 125,116.42
  5. Step 5: Solve for x
    x = 125,116.42/369.64
  6. Step 6: Final answer
    x = 338.48

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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.