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Finding the Fourth Proportional to 368.90, 509.34 and 229.20

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Solution

The fourth proportional to 368.90, 509.34 and 229.20 is: 316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.90 : 509.34 = 229.20 : x
  2. Step 2: Convert to fraction form
    368.90/509.34 = 229.20/x
  3. Step 3: Cross multiply
    368.90x = 509.34 × 229.20
  4. Step 4: Simplify right side
    368.90x = 116,740.73
  5. Step 5: Solve for x
    x = 116,740.73/368.90
  6. Step 6: Final answer
    x = 316.46

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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.