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Finding the Fourth Proportional to 369.32, 508.61 and 336.47

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Solution

The fourth proportional to 369.32, 508.61 and 336.47 is: 463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.32 : 508.61 = 336.47 : x
  2. Step 2: Convert to fraction form
    369.32/508.61 = 336.47/x
  3. Step 3: Cross multiply
    369.32x = 508.61 × 336.47
  4. Step 4: Simplify right side
    369.32x = 171,127.78
  5. Step 5: Solve for x
    x = 171,127.78/369.32
  6. Step 6: Final answer
    x = 463.37

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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.