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Finding the Fourth Proportional to 369.13, 509.24 and 270.72

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Solution

The fourth proportional to 369.13, 509.24 and 270.72 is: 373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.13 : 509.24 = 270.72 : x
  2. Step 2: Convert to fraction form
    369.13/509.24 = 270.72/x
  3. Step 3: Cross multiply
    369.13x = 509.24 × 270.72
  4. Step 4: Simplify right side
    369.13x = 137,858.91
  5. Step 5: Solve for x
    x = 137,858.91/369.13
  6. Step 6: Final answer
    x = 373.47

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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.