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Finding the Fourth Proportional to 509.36, 701.42 and 369.23

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Solution

The fourth proportional to 509.36, 701.42 and 369.23 is: 508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.36 : 701.42 = 369.23 : x
  2. Step 2: Convert to fraction form
    509.36/701.42 = 369.23/x
  3. Step 3: Cross multiply
    509.36x = 701.42 × 369.23
  4. Step 4: Simplify right side
    509.36x = 258,979.95
  5. Step 5: Solve for x
    x = 258,979.95/509.36
  6. Step 6: Final answer
    x = 508.45

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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.