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Finding the Fourth Proportional to 467.93, 644.99 and 369.51

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Solution

The fourth proportional to 467.93, 644.99 and 369.51 is: 509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.93 : 644.99 = 369.51 : x
  2. Step 2: Convert to fraction form
    467.93/644.99 = 369.51/x
  3. Step 3: Cross multiply
    467.93x = 644.99 × 369.51
  4. Step 4: Simplify right side
    467.93x = 238,328.41
  5. Step 5: Solve for x
    x = 238,328.41/467.93
  6. Step 6: Final answer
    x = 509.33

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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.