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Finding the Fourth Proportional to 369, 508.95 and 236.30

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Solution

The fourth proportional to 369, 508.95 and 236.30 is: 325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369 : 508.95 = 236.30 : x
  2. Step 2: Convert to fraction form
    369/508.95 = 236.30/x
  3. Step 3: Cross multiply
    369x = 508.95 × 236.30
  4. Step 4: Simplify right side
    369x = 120,262.34
  5. Step 5: Solve for x
    x = 120,262.34/369
  6. Step 6: Final answer
    x = 325.91

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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.