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Finding the Fourth Proportional to 369.25, 509.61 and 253.06

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Solution

The fourth proportional to 369.25, 509.61 and 253.06 is: 349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.25 : 509.61 = 253.06 : x
  2. Step 2: Convert to fraction form
    369.25/509.61 = 253.06/x
  3. Step 3: Cross multiply
    369.25x = 509.61 × 253.06
  4. Step 4: Simplify right side
    369.25x = 128,961.91
  5. Step 5: Solve for x
    x = 128,961.91/369.25
  6. Step 6: Final answer
    x = 349.25

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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.